diff --git a/node.gypi b/node.gypi
index ad088b133be471..f9dba2d4bdd4f4 100644
--- a/node.gypi
+++ b/node.gypi
@@ -361,7 +361,11 @@
               ],
             }],
           ],
-        }]]
+        }, {
+          # Set 1.0.0 as the API compability level to avoid the
+          # deprecation warnings when using OpenSSL 3.0.
+	  'defines': ['OPENSSL_API_COMPAT=0x10000000L'],
+	}]]
 
     }, {
       'defines': [ 'HAVE_OPENSSL=0' ]
diff --git a/src/crypto/crypto_cipher.cc b/src/crypto/crypto_cipher.cc
index 47764b5bc7f153..c9c3563ef917ec 100644
--- a/src/crypto/crypto_cipher.cc
+++ b/src/crypto/crypto_cipher.cc
@@ -342,8 +342,11 @@ void CipherBase::Init(const char* cipher_type,
                       unsigned int auth_tag_len) {
   HandleScope scope(env()->isolate());
   MarkPopErrorOnReturn mark_pop_error_on_return;
-
+#if OPENSSL_VERSION_MAJOR >= 3
+  if (EVP_default_properties_is_fips_enabled(nullptr)) {
+#else
   if (FIPS_mode()) {
+#endif
     return THROW_ERR_CRYPTO_UNSUPPORTED_OPERATION(env(),
         "crypto.createCipher() is not supported in FIPS mode.");
   }
@@ -527,7 +530,13 @@ bool CipherBase::InitAuthenticated(
     }
 
     // TODO(tniessen) Support CCM decryption in FIPS mode
+
+#if OPENSSL_VERSION_MAJOR >= 3
+    if (mode == EVP_CIPH_CCM_MODE && kind_ == kDecipher &&
+        EVP_default_properties_is_fips_enabled(nullptr)) {
+#else
     if (mode == EVP_CIPH_CCM_MODE && kind_ == kDecipher && FIPS_mode()) {
+#endif
       THROW_ERR_CRYPTO_UNSUPPORTED_OPERATION(env(),
           "CCM encryption not supported in FIPS mode");
       return false;
diff --git a/src/crypto/crypto_dsa.cc b/src/crypto/crypto_dsa.cc
index d3446eb60a2789..6ee8cf7e18c02e 100644
--- a/src/crypto/crypto_dsa.cc
+++ b/src/crypto/crypto_dsa.cc
@@ -138,7 +138,7 @@ Maybe<bool> GetDsaKeyDetail(
   int type = EVP_PKEY_id(m_pkey.get());
   CHECK(type == EVP_PKEY_DSA);
 
-  DSA* dsa = EVP_PKEY_get0_DSA(m_pkey.get());
+  const DSA* dsa = EVP_PKEY_get0_DSA(m_pkey.get());
   CHECK_NOT_NULL(dsa);
 
   DSA_get0_pqg(dsa, &p, &q, nullptr);
diff --git a/src/crypto/crypto_ec.cc b/src/crypto/crypto_ec.cc
index 3e2c2031adb8e4..ea4c70ad5d8c84 100644
--- a/src/crypto/crypto_ec.cc
+++ b/src/crypto/crypto_ec.cc
@@ -463,19 +463,22 @@ bool ECDHBitsTraits::DeriveBits(
 
   char* data = nullptr;
   size_t len = 0;
+  ManagedEVPPKey m_privkey = params.private_->GetAsymmetricKey();
+  ManagedEVPPKey m_pubkey = params.public_->GetAsymmetricKey();
 
   switch (params.id_) {
     case EVP_PKEY_X25519:
       // Fall through
     case EVP_PKEY_X448: {
-      EVPKeyCtxPointer ctx(
-          EVP_PKEY_CTX_new(
-              params.private_->GetAsymmetricKey().get(),
-              nullptr));
+      EVPKeyCtxPointer ctx = nullptr;
+      {
+        ctx.reset(EVP_PKEY_CTX_new(m_privkey.get(), nullptr));
+      }
+      Mutex::ScopedLock pub_lock(*m_pubkey.mutex());
       if (EVP_PKEY_derive_init(ctx.get()) <= 0 ||
           EVP_PKEY_derive_set_peer(
               ctx.get(),
-              params.public_->GetAsymmetricKey().get()) <= 0 ||
+              m_pubkey.get()) <= 0 ||
           EVP_PKEY_derive(ctx.get(), nullptr, &len) <= 0) {
         return false;
       }
@@ -492,10 +495,14 @@ bool ECDHBitsTraits::DeriveBits(
       break;
     }
     default: {
-      const EC_KEY* private_key =
-          EVP_PKEY_get0_EC_KEY(params.private_->GetAsymmetricKey().get());
-      const EC_KEY* public_key =
-          EVP_PKEY_get0_EC_KEY(params.public_->GetAsymmetricKey().get());
+      const EC_KEY* private_key;
+      {
+        Mutex::ScopedLock priv_lock(*m_privkey.mutex());
+        private_key = EVP_PKEY_get0_EC_KEY(m_privkey.get());
+      }
+
+      Mutex::ScopedLock pub_lock(*m_pubkey.mutex());
+      const EC_KEY* public_key = EVP_PKEY_get0_EC_KEY(m_pubkey.get());
 
       const EC_GROUP* group = EC_KEY_get0_group(private_key);
       if (group == nullptr)
@@ -607,7 +614,7 @@ WebCryptoKeyExportStatus EC_Raw_Export(
   CHECK(m_pkey);
   Mutex::ScopedLock lock(*m_pkey.mutex());
 
-  EC_KEY* ec_key = EVP_PKEY_get0_EC_KEY(m_pkey.get());
+  const EC_KEY* ec_key = EVP_PKEY_get0_EC_KEY(m_pkey.get());
 
   unsigned char* data;
   size_t len = 0;
@@ -627,10 +634,10 @@ WebCryptoKeyExportStatus EC_Raw_Export(
     }
     CHECK_NOT_NULL(fn);
     // Get the size of the raw key data
-    if (fn(key_data->GetAsymmetricKey().get(), nullptr, &len) == 0)
+    if (fn(m_pkey.get(), nullptr, &len) == 0)
       return WebCryptoKeyExportStatus::INVALID_KEY_TYPE;
     data = MallocOpenSSL<unsigned char>(len);
-    if (fn(key_data->GetAsymmetricKey().get(), data, &len) == 0)
+    if (fn(m_pkey.get(), data, &len) == 0)
       return WebCryptoKeyExportStatus::INVALID_KEY_TYPE;
   } else {
     if (key_data->GetKeyType() != kKeyTypePublic)
@@ -696,7 +703,7 @@ Maybe<bool> ExportJWKEcKey(
   Mutex::ScopedLock lock(*m_pkey.mutex());
   CHECK_EQ(EVP_PKEY_id(m_pkey.get()), EVP_PKEY_EC);
 
-  EC_KEY* ec = EVP_PKEY_get0_EC_KEY(m_pkey.get());
+  const EC_KEY* ec = EVP_PKEY_get0_EC_KEY(m_pkey.get());
   CHECK_NOT_NULL(ec);
 
   const EC_POINT* pub = EC_KEY_get0_public_key(ec);
@@ -751,6 +758,7 @@ Maybe<bool> ExportJWKEdKey(
     std::shared_ptr<KeyObjectData> key,
     Local<Object> target) {
   ManagedEVPPKey pkey = key->GetAsymmetricKey();
+  Mutex::ScopedLock lock(*pkey.mutex());
 
   const char* curve = nullptr;
   switch (EVP_PKEY_id(pkey.get())) {
@@ -902,7 +910,7 @@ Maybe<bool> GetEcKeyDetail(
   Mutex::ScopedLock lock(*m_pkey.mutex());
   CHECK_EQ(EVP_PKEY_id(m_pkey.get()), EVP_PKEY_EC);
 
-  EC_KEY* ec = EVP_PKEY_get0_EC_KEY(m_pkey.get());
+  const EC_KEY* ec = EVP_PKEY_get0_EC_KEY(m_pkey.get());
   CHECK_NOT_NULL(ec);
 
   const EC_GROUP* group = EC_KEY_get0_group(ec);
@@ -919,8 +927,8 @@ Maybe<bool> GetEcKeyDetail(
 // implementation here is a adapted from Chromium's impl here:
 // https://github.com/chromium/chromium/blob/7af6cfd/components/webcrypto/algorithms/ecdsa.cc
 
-size_t GroupOrderSize(ManagedEVPPKey key) {
-  EC_KEY* ec = EVP_PKEY_get0_EC_KEY(key.get());
+size_t GroupOrderSize(const ManagedEVPPKey& key) {
+  const EC_KEY* ec = EVP_PKEY_get0_EC_KEY(key.get());
   CHECK_NOT_NULL(ec);
   const EC_GROUP* group = EC_KEY_get0_group(ec);
   BignumPointer order(BN_new());
diff --git a/src/crypto/crypto_hkdf.cc b/src/crypto/crypto_hkdf.cc
index f6339b129baea6..0aa96ada47abe4 100644
--- a/src/crypto/crypto_hkdf.cc
+++ b/src/crypto/crypto_hkdf.cc
@@ -110,15 +110,15 @@ bool HKDFTraits::DeriveBits(
       !EVP_PKEY_CTX_set_hkdf_md(ctx.get(), params.digest) ||
       !EVP_PKEY_CTX_set1_hkdf_salt(
         ctx.get(),
-        params.salt.get(),
+        reinterpret_cast<const unsigned char*>(params.salt.get()),
         params.salt.size()) ||
       !EVP_PKEY_CTX_set1_hkdf_key(
         ctx.get(),
-        params.key->GetSymmetricKey(),
+        reinterpret_cast<const unsigned char*>(params.key->GetSymmetricKey()),
         params.key->GetSymmetricKeySize()) ||
       !EVP_PKEY_CTX_add1_hkdf_info(
         ctx.get(),
-        params.info.get(),
+        reinterpret_cast<const unsigned char*>(params.info.get()),
         params.info.size())) {
     return false;
   }
diff --git a/src/crypto/crypto_keygen.h b/src/crypto/crypto_keygen.h
index 6231eb7eef8320..e96d850cee1b5a 100644
--- a/src/crypto/crypto_keygen.h
+++ b/src/crypto/crypto_keygen.h
@@ -235,6 +235,9 @@ struct KeyPairGenConfig final : public MemoryRetainer {
   AlgorithmParams params;
 
   KeyPairGenConfig() = default;
+  ~KeyPairGenConfig() {
+    Mutex::ScopedLock priv_lock(*key.mutex());
+  }
 
   explicit KeyPairGenConfig(KeyPairGenConfig&& other) noexcept
       : public_key_encoding(other.public_key_encoding),
diff --git a/src/crypto/crypto_keys.cc b/src/crypto/crypto_keys.cc
index 4f0102a0eede41..f72ca8322db960 100644
--- a/src/crypto/crypto_keys.cc
+++ b/src/crypto/crypto_keys.cc
@@ -559,6 +559,8 @@ ManagedEVPPKey::ManagedEVPPKey(const ManagedEVPPKey& that) {
 }
 
 ManagedEVPPKey& ManagedEVPPKey::operator=(const ManagedEVPPKey& that) {
+  Mutex::ScopedLock lock(*that.mutex_);
+
   pkey_.reset(that.get());
 
   if (pkey_)
diff --git a/src/crypto/crypto_keys.h b/src/crypto/crypto_keys.h
index 21ccb73e330aa8..bf1498e62851eb 100644
--- a/src/crypto/crypto_keys.h
+++ b/src/crypto/crypto_keys.h
@@ -74,7 +74,7 @@ struct PrivateKeyEncodingConfig : public AsymmetricKeyEncodingConfig {
 // use.
 class ManagedEVPPKey : public MemoryRetainer {
  public:
-  ManagedEVPPKey() = default;
+  ManagedEVPPKey() : mutex_(std::make_shared<Mutex>()) {}
   explicit ManagedEVPPKey(EVPKeyPointer&& pkey);
   ManagedEVPPKey(const ManagedEVPPKey& that);
   ManagedEVPPKey& operator=(const ManagedEVPPKey& that);
diff --git a/src/crypto/crypto_rsa.cc b/src/crypto/crypto_rsa.cc
index c3250ea2e42ac1..22c20a3031899c 100644
--- a/src/crypto/crypto_rsa.cc
+++ b/src/crypto/crypto_rsa.cc
@@ -371,11 +371,11 @@ Maybe<bool> ExportJWKRsaKey(
 
   // TODO(tniessen): Remove the "else" branch once we drop support for OpenSSL
   // versions older than 1.1.1e via FIPS / dynamic linking.
-  RSA* rsa;
+  const RSA* rsa;
   if (OpenSSL_version_num() >= 0x1010105fL) {
     rsa = EVP_PKEY_get0_RSA(m_pkey.get());
   } else {
-    rsa = static_cast<RSA*>(EVP_PKEY_get0(m_pkey.get()));
+    rsa = static_cast<const RSA*>(EVP_PKEY_get0(m_pkey.get()));
   }
   CHECK_NOT_NULL(rsa);
 
@@ -520,11 +520,11 @@ Maybe<bool> GetRsaKeyDetail(
 
   // TODO(tniessen): Remove the "else" branch once we drop support for OpenSSL
   // versions older than 1.1.1e via FIPS / dynamic linking.
-  RSA* rsa;
+  const RSA* rsa;
   if (OpenSSL_version_num() >= 0x1010105fL) {
     rsa = EVP_PKEY_get0_RSA(m_pkey.get());
   } else {
-    rsa = static_cast<RSA*>(EVP_PKEY_get0(m_pkey.get()));
+    rsa = static_cast<const RSA*>(EVP_PKEY_get0(m_pkey.get()));
   }
   CHECK_NOT_NULL(rsa);
 
diff --git a/src/crypto/crypto_sig.cc b/src/crypto/crypto_sig.cc
index 946ac250f2fa01..cb1ce31be73700 100644
--- a/src/crypto/crypto_sig.cc
+++ b/src/crypto/crypto_sig.cc
@@ -28,8 +28,13 @@ namespace crypto {
 namespace {
 bool ValidateDSAParameters(EVP_PKEY* key) {
   /* Validate DSA2 parameters from FIPS 186-4 */
+#if OPENSSL_VERSION_MAJOR >= 3
+  if (EVP_default_properties_is_fips_enabled(nullptr) &&
+      EVP_PKEY_DSA == EVP_PKEY_base_id(key)) {
+#else
   if (FIPS_mode() && EVP_PKEY_DSA == EVP_PKEY_base_id(key)) {
-    DSA* dsa = EVP_PKEY_get0_DSA(key);
+#endif
+    const DSA* dsa = EVP_PKEY_get0_DSA(key);
     const BIGNUM* p;
     DSA_get0_pqg(dsa, &p, nullptr, nullptr);
     size_t L = BN_num_bits(p);
@@ -103,11 +108,11 @@ unsigned int GetBytesOfRS(const ManagedEVPPKey& pkey) {
   int bits, base_id = EVP_PKEY_base_id(pkey.get());
 
   if (base_id == EVP_PKEY_DSA) {
-    DSA* dsa_key = EVP_PKEY_get0_DSA(pkey.get());
+    const DSA* dsa_key = EVP_PKEY_get0_DSA(pkey.get());
     // Both r and s are computed mod q, so their width is limited by that of q.
     bits = BN_num_bits(DSA_get0_q(dsa_key));
   } else if (base_id == EVP_PKEY_EC) {
-    EC_KEY* ec_key = EVP_PKEY_get0_EC_KEY(pkey.get());
+    const EC_KEY* ec_key = EVP_PKEY_get0_EC_KEY(pkey.get());
     const EC_GROUP* ec_group = EC_KEY_get0_group(ec_key);
     bits = EC_GROUP_order_bits(ec_group);
   } else {
@@ -873,7 +878,7 @@ bool SignTraits::DeriveBits(
     case SignConfiguration::kSign: {
       size_t len;
       unsigned char* data = nullptr;
-      if (IsOneShot(params.key->GetAsymmetricKey())) {
+      if (IsOneShot(m_pkey)) {
         EVP_DigestSign(
             context.get(),
             nullptr,
@@ -905,10 +910,7 @@ bool SignTraits::DeriveBits(
           return false;
 
         if (UseP1363Encoding(m_pkey, params.dsa_encoding)) {
-          *out = ConvertSignatureToP1363(
-              env,
-              params.key->GetAsymmetricKey(),
-              buf);
+          *out = ConvertSignatureToP1363(env, m_pkey, buf);
         } else {
           buf.Resize(len);
           *out = std::move(buf);
diff --git a/src/crypto/crypto_util.cc b/src/crypto/crypto_util.cc
index 9644dc4dc7f9aa..9c35a7cabbf551 100644
--- a/src/crypto/crypto_util.cc
+++ b/src/crypto/crypto_util.cc
@@ -137,7 +137,12 @@ void InitCryptoOnce() {
   unsigned long err = 0;  // NOLINT(runtime/int)
   if (per_process::cli_options->enable_fips_crypto ||
       per_process::cli_options->force_fips_crypto) {
+#if OPENSSL_VERSION_MAJOR >= 3
+    if (0 == EVP_default_properties_is_fips_enabled(nullptr) &&
+        !EVP_default_properties_enable_fips(nullptr, 1)) {
+#else
     if (0 == FIPS_mode() && !FIPS_mode_set(1)) {
+#endif
       err = ERR_get_error();
     }
   }
@@ -160,7 +165,12 @@ void InitCryptoOnce() {
 }
 
 void GetFipsCrypto(const FunctionCallbackInfo<Value>& args) {
+#if OPENSSL_VERSION_MAJOR >= 3
+  args.GetReturnValue().Set(EVP_default_properties_is_fips_enabled(nullptr) ?
+      1 : 0);
+#else
   args.GetReturnValue().Set(FIPS_mode() ? 1 : 0);
+#endif
 }
 
 void SetFipsCrypto(const FunctionCallbackInfo<Value>& args) {
@@ -168,10 +178,18 @@ void SetFipsCrypto(const FunctionCallbackInfo<Value>& args) {
   Environment* env = Environment::GetCurrent(args);
   bool enable = args[0]->BooleanValue(env->isolate());
 
+#if OPENSSL_VERSION_MAJOR >= 3
+  if (enable == EVP_default_properties_is_fips_enabled(nullptr))
+#else
   if (enable == FIPS_mode())
+#endif
     return;  // No action needed.
 
+#if OPENSSL_VERSION_MAJOR >= 3
+  if (!EVP_default_properties_enable_fips(nullptr, enable)) {
+#else
   if (!FIPS_mode_set(enable)) {
+#endif
     unsigned long err = ERR_get_error();  // NOLINT(runtime/int)
     return ThrowCryptoError(env, err);
   }
diff --git a/src/node.cc b/src/node.cc
index c31b2255947255..f02f87a8b45671 100644
--- a/src/node.cc
+++ b/src/node.cc
@@ -1060,8 +1060,12 @@ InitializationResult InitializeOncePerProcess(int argc, char** argv) {
   }
   // In the case of FIPS builds we should make sure
   // the random source is properly initialized first.
+#if OPENSSL_VERSION_MAJOR >= 3
+  if (EVP_default_properties_is_fips_enabled(nullptr)) {
+#else
   if (FIPS_mode()) {
     OPENSSL_init();
+#endif
   }
   // V8 on Windows doesn't have a good source of entropy. Seed it from
   // OpenSSL's pool.
diff --git a/test/common/index.js b/test/common/index.js
index 7d08e5e71e981f..8190be9565e742 100644
--- a/test/common/index.js
+++ b/test/common/index.js
@@ -51,6 +51,9 @@ const noop = () => {};
 const hasCrypto = Boolean(process.versions.openssl) &&
                   !process.env.NODE_SKIP_CRYPTO;
 
+const hasOpenSSL3 = hasCrypto &&
+    require('crypto').constants.OPENSSL_VERSION_NUMBER >= 805306368;
+
 // Check for flags. Skip this for workers (both, the `cluster` module and
 // `worker_threads`) and child processes.
 // If the binary was built without-ssl then the crypto flags are
@@ -726,6 +729,7 @@ const common = {
   getTTYfd,
   hasIntl,
   hasCrypto,
+  hasOpenSSL3,
   hasMultiLocalhost,
   invalidArgTypeHelper,
   isAIX,
diff --git a/test/parallel/test-crypto-binary-default.js b/test/parallel/test-crypto-binary-default.js
index a2fb2e82670567..ada50d6b9c9656 100644
--- a/test/parallel/test-crypto-binary-default.js
+++ b/test/parallel/test-crypto-binary-default.js
@@ -583,7 +583,8 @@ assert.throws(
 // Test Diffie-Hellman with two parties sharing a secret,
 // using various encodings as we go along
 {
-  const dh1 = crypto.createDiffieHellman(common.hasFipsCrypto ? 1024 : 256);
+  const size = common.hasFipsCrypto || common.hasOpenSSL3 ? 1024 : 256;
+  const dh1 = crypto.createDiffieHellman(size);
   const p1 = dh1.getPrime('buffer');
   const dh2 = crypto.createDiffieHellman(p1, 'base64');
   const key1 = dh1.generateKeys();
diff --git a/test/parallel/test-crypto-cipheriv-decipheriv.js b/test/parallel/test-crypto-cipheriv-decipheriv.js
index ea5b675db13487..87f3641fb188bd 100644
--- a/test/parallel/test-crypto-cipheriv-decipheriv.js
+++ b/test/parallel/test-crypto-cipheriv-decipheriv.js
@@ -193,7 +193,9 @@ assert.throws(
   errMessage);
 
 // But all other IV lengths should be accepted.
-for (let n = 1; n < 256; n += 1) {
+const minIvLength = common.hasOpenSSL3 ? 8 : 1;
+const maxIvLength = common.hasOpenSSL3 ? 64 : 256;
+for (let n = minIvLength; n < maxIvLength; n += 1) {
   if (common.hasFipsCrypto && n < 12) continue;
   crypto.createCipheriv('aes-128-gcm', Buffer.alloc(16), Buffer.alloc(n));
 }
diff --git a/test/parallel/test-crypto-classes.js b/test/parallel/test-crypto-classes.js
index ce4e2922de8062..dd073274aef765 100644
--- a/test/parallel/test-crypto-classes.js
+++ b/test/parallel/test-crypto-classes.js
@@ -24,7 +24,7 @@ const TEST_CASES = {
 if (!common.hasFipsCrypto) {
   TEST_CASES.Cipher = ['aes192', 'secret'];
   TEST_CASES.Decipher = ['aes192', 'secret'];
-  TEST_CASES.DiffieHellman = [256];
+  TEST_CASES.DiffieHellman = [common.hasOpenSSL3 ? 1024 : 256];
 }
 
 for (const [clazz, args] of Object.entries(TEST_CASES)) {
diff --git a/test/parallel/test-crypto-dh-leak.js b/test/parallel/test-crypto-dh-leak.js
index 5c4c0c61d4f41c..fe8c138ac2c98f 100644
--- a/test/parallel/test-crypto-dh-leak.js
+++ b/test/parallel/test-crypto-dh-leak.js
@@ -12,7 +12,8 @@ const crypto = require('crypto');
 
 const before = process.memoryUsage.rss();
 {
-  const dh = crypto.createDiffieHellman(common.hasFipsCrypto ? 1024 : 256);
+  const size = common.hasFipsCrypto || common.hasOpenSSL3 ? 1024 : 256;
+  const dh = crypto.createDiffieHellman(size);
   const publicKey = dh.generateKeys();
   const privateKey = dh.getPrivateKey();
   for (let i = 0; i < 5e4; i += 1) {
diff --git a/test/parallel/test-crypto-dh-odd-key.js b/test/parallel/test-crypto-dh-odd-key.js
index d5410daca6fb23..69a1eb56c866b3 100644
--- a/test/parallel/test-crypto-dh-odd-key.js
+++ b/test/parallel/test-crypto-dh-odd-key.js
@@ -30,7 +30,7 @@ const crypto = require('crypto');
 function test() {
   const odd = Buffer.alloc(39, 'A');
 
-  const c = crypto.createDiffieHellman(32);
+  const c = crypto.createDiffieHellman(common.hasOpenSSL3 ? 1024 : 32);
   c.setPrivateKey(odd);
   c.generateKeys();
 }
diff --git a/test/parallel/test-crypto-dh-stateless.js b/test/parallel/test-crypto-dh-stateless.js
index 3d0c1b497d7adc..9e26a318669c4e 100644
--- a/test/parallel/test-crypto-dh-stateless.js
+++ b/test/parallel/test-crypto-dh-stateless.js
@@ -57,7 +57,6 @@ const alicePrivateKey = crypto.createPrivateKey({
        '-----END PRIVATE KEY-----',
   format: 'pem'
 });
-
 const alicePublicKey = crypto.createPublicKey({
   key: '-----BEGIN PUBLIC KEY-----\n' +
        'MIIBnzCB1QYJKoZIhvcNAQMBMIHHAoHBAP//////////yQ/aoiFowjTExmKLgNwc\n' +
@@ -135,7 +134,6 @@ const dh = crypto.createDiffieHellman(group.getPrime(), group.getGenerator());
 dh.setPrivateKey(privateKey);
 
 // Test simple Diffie-Hellman, no curves involved.
-
 test({ publicKey: alicePublicKey, privateKey: alicePrivateKey },
      { publicKey: bobPublicKey, privateKey: bobPrivateKey },
      dh.computeSecret(publicKey));
@@ -146,23 +144,31 @@ test(crypto.generateKeyPairSync('dh', { group: 'modp5' }),
 test(crypto.generateKeyPairSync('dh', { group: 'modp5' }),
      crypto.generateKeyPairSync('dh', { prime: group.getPrime() }));
 
-for (const [params1, params2] of [
+const list = [
   // Same generator, but different primes.
-  [{ group: 'modp5' }, { group: 'modp18' }],
+  [{ group: 'modp5' }, { group: 'modp18' }]];
+
+// TODO(danbev): Take a closer look if there should be a check in OpenSSL3
+// when the dh parameters differ.
+if (!common.hasOpenSSL3) {
   // Same primes, but different generator.
-  [{ group: 'modp5' }, { prime: group.getPrime(), generator: 5 }],
+  list.push([{ group: 'modp5' }, { prime: group.getPrime(), generator: 5 }]);
   // Same generator, but different primes.
-  [{ primeLength: 1024 }, { primeLength: 1024 }]
-]) {
+  list.push([{ primeLength: 1024 }, { primeLength: 1024 }]);
+}
+
+for (const [params1, params2] of list) {
   assert.throws(() => {
     test(crypto.generateKeyPairSync('dh', params1),
          crypto.generateKeyPairSync('dh', params2));
-  }, {
+  }, common.hasOpenSSL3 ? {
+    name: 'Error',
+    code: 'ERR_OSSL_DH_INVALID_PUBLIC_KEY'
+  } : {
     name: 'Error',
     code: 'ERR_OSSL_EVP_DIFFERENT_PARAMETERS'
   });
 }
-
 {
   const privateKey = crypto.createPrivateKey({
     key: '-----BEGIN PRIVATE KEY-----\n' +
@@ -214,7 +220,10 @@ const not256k1 = crypto.getCurves().find((c) => /^sec.*(224|384|512)/.test(c));
 assert.throws(() => {
   test(crypto.generateKeyPairSync('ec', { namedCurve: 'secp256k1' }),
        crypto.generateKeyPairSync('ec', { namedCurve: not256k1 }));
-}, {
+}, common.hasOpenSSL3 ? {
+  name: 'Error',
+  code: 'ERR_OSSL_EC_INCOMPATIBLE_OBJECTS'
+} : {
   name: 'Error',
   code: 'ERR_OSSL_EVP_DIFFERENT_PARAMETERS'
 });
diff --git a/test/parallel/test-crypto-dh.js b/test/parallel/test-crypto-dh.js
index 5336301391b6c7..d08d07de4f8063 100644
--- a/test/parallel/test-crypto-dh.js
+++ b/test/parallel/test-crypto-dh.js
@@ -8,7 +8,8 @@ const crypto = require('crypto');
 
 // Test Diffie-Hellman with two parties sharing a secret,
 // using various encodings as we go along
-const dh1 = crypto.createDiffieHellman(common.hasFipsCrypto ? 1024 : 256);
+const size = common.hasFipsCrypto || common.hasOpenSSL3 ? 1024 : 256;
+const dh1 = crypto.createDiffieHellman(size);
 const p1 = dh1.getPrime('buffer');
 const dh2 = crypto.createDiffieHellman(p1, 'buffer');
 let key1 = dh1.generateKeys();
@@ -38,11 +39,19 @@ assert.throws(() => crypto.createDiffieHellman('abcdef', 13.37), {
 });
 
 for (const bits of [-1, 0, 1]) {
-  assert.throws(() => crypto.createDiffieHellman(bits), {
-    code: 'ERR_OSSL_BN_BITS_TOO_SMALL',
-    name: 'Error',
-    message: /bits too small/,
-  });
+  if (common.hasOpenSSL3) {
+    assert.throws(() => crypto.createDiffieHellman(bits), {
+      code: 'ERR_OSSL_DH_MODULUS_TOO_SMALL',
+      name: 'Error',
+      message: /modulus too small/,
+    });
+  } else {
+    assert.throws(() => crypto.createDiffieHellman(bits), {
+      code: 'ERR_OSSL_BN_BITS_TOO_SMALL',
+      name: 'Error',
+      message: /bits too small/,
+    });
+  }
 }
 
 // Through a fluke of history, g=0 defaults to DH_GENERATOR (2).
@@ -143,13 +152,23 @@ const secret4 = dh4.computeSecret(key2, 'hex', 'base64');
 
 assert.strictEqual(secret1, secret4);
 
-const wrongBlockLength = {
-  message: 'error:0606506D:digital envelope' +
-    ' routines:EVP_DecryptFinal_ex:wrong final block length',
-  code: 'ERR_OSSL_EVP_WRONG_FINAL_BLOCK_LENGTH',
-  library: 'digital envelope routines',
-  reason: 'wrong final block length'
-};
+let wrongBlockLength;
+if (common.hasOpenSSL3) {
+  wrongBlockLength = {
+    message: 'error:1C80006B:Provider routines::wrong final block length',
+    code: 'ERR_OSSL_WRONG_FINAL_BLOCK_LENGTH',
+    library: 'Provider routines',
+    reason: 'wrong final block length'
+  };
+} else {
+  wrongBlockLength = {
+    message: 'error:0606506D:digital envelope' +
+      ' routines:EVP_DecryptFinal_ex:wrong final block length',
+    code: 'ERR_OSSL_EVP_WRONG_FINAL_BLOCK_LENGTH',
+    library: 'digital envelope routines',
+    reason: 'wrong final block length'
+  };
+}
 
 // Run this one twice to make sure that the dh3 clears its error properly
 {
@@ -168,7 +187,9 @@ const wrongBlockLength = {
 
 assert.throws(() => {
   dh3.computeSecret('');
-}, { message: 'Supplied key is too small' });
+}, { message: common.hasOpenSSL3 ?
+  'error:02800066:Diffie-Hellman routines::invalid public key' :
+  'Supplied key is too small' });
 
 // Create a shared using a DH group.
 const alice = crypto.createDiffieHellmanGroup('modp5');
diff --git a/test/parallel/test-crypto-ecb.js b/test/parallel/test-crypto-ecb.js
index c88ebaabb05e7f..aecd858ef3bf1e 100644
--- a/test/parallel/test-crypto-ecb.js
+++ b/test/parallel/test-crypto-ecb.js
@@ -27,6 +27,10 @@ if (!common.hasCrypto)
 if (common.hasFipsCrypto)
   common.skip('BF-ECB is not FIPS 140-2 compatible');
 
+if (common.hasOpenSSL3)
+  common.skip('Blowfish is only available with the legacy provider in ' +
+    'OpenSSl 3.x');
+
 const assert = require('assert');
 const crypto = require('crypto');
 
diff --git a/test/parallel/test-crypto-fips.js b/test/parallel/test-crypto-fips.js
index a1ed6451842c54..204951514a8ede 100644
--- a/test/parallel/test-crypto-fips.js
+++ b/test/parallel/test-crypto-fips.js
@@ -66,21 +66,6 @@ testHelper(
   'require("crypto").getFips()',
   { ...process.env, 'OPENSSL_CONF': '' });
 
-// --enable-fips should turn FIPS mode on
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  ['--enable-fips'],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").getFips()',
-  process.env);
-
-// --force-fips should turn FIPS mode on
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  ['--force-fips'],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").getFips()',
-  process.env);
 
 // If Node was configured using --shared-openssl fips support might be
 // available depending on how OpenSSL was built. If fips support is
@@ -120,120 +105,140 @@ if (!sharedOpenSSL()) {
     Object.assign({}, process.env, { 'OPENSSL_CONF': CNF_FIPS_OFF }));
 }
 
-testHelper(
-  'stdout',
-  [`--openssl-config=${CNF_FIPS_OFF}`],
-  FIPS_DISABLED,
-  'require("crypto").getFips()',
-  Object.assign({}, process.env, { 'OPENSSL_CONF': CNF_FIPS_ON }));
+// OpenSSL 3.x has changed the configuration files so the following tests
+// will not work as expected with that version.
+// TODO(danbev) Revisit these test once FIPS support is available in
+// OpenSSL 3.x.
+if (!common.hasOpenSSL3) {
+  testHelper(
+    'stdout',
+    [`--openssl-config=${CNF_FIPS_OFF}`],
+    FIPS_DISABLED,
+    'require("crypto").getFips()',
+    Object.assign({}, process.env, { 'OPENSSL_CONF': CNF_FIPS_ON }));
 
-// --enable-fips should take precedence over OpenSSL config file
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  ['--enable-fips', `--openssl-config=${CNF_FIPS_OFF}`],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").getFips()',
-  process.env);
+  // --enable-fips should take precedence over OpenSSL config file
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    ['--enable-fips', `--openssl-config=${CNF_FIPS_OFF}`],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").getFips()',
+    process.env);
+  // --force-fips should take precedence over OpenSSL config file
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    ['--force-fips', `--openssl-config=${CNF_FIPS_OFF}`],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").getFips()',
+    process.env);
+  // --enable-fips should turn FIPS mode on
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    ['--enable-fips'],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").getFips()',
+    process.env);
 
-// OPENSSL_CONF should _not_ make a difference to --enable-fips
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  ['--enable-fips'],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").getFips()',
-  Object.assign({}, process.env, { 'OPENSSL_CONF': CNF_FIPS_OFF }));
+  // --force-fips should turn FIPS mode on
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    ['--force-fips'],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").getFips()',
+    process.env);
 
-// --force-fips should take precedence over OpenSSL config file
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  ['--force-fips', `--openssl-config=${CNF_FIPS_OFF}`],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").getFips()',
-  process.env);
+  // OPENSSL_CONF should _not_ make a difference to --enable-fips
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    ['--enable-fips'],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").getFips()',
+    Object.assign({}, process.env, { 'OPENSSL_CONF': CNF_FIPS_OFF }));
 
-// Using OPENSSL_CONF should not make a difference to --force-fips
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  ['--force-fips'],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").getFips()',
-  Object.assign({}, process.env, { 'OPENSSL_CONF': CNF_FIPS_OFF }));
+  // Using OPENSSL_CONF should not make a difference to --force-fips
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    ['--force-fips'],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").getFips()',
+    Object.assign({}, process.env, { 'OPENSSL_CONF': CNF_FIPS_OFF }));
 
-// setFipsCrypto should be able to turn FIPS mode on
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  [],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  '(require("crypto").setFips(true),' +
-  'require("crypto").getFips())',
-  process.env);
+  // setFipsCrypto should be able to turn FIPS mode on
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    [],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    '(require("crypto").setFips(true),' +
+    'require("crypto").getFips())',
+    process.env);
 
-// setFipsCrypto should be able to turn FIPS mode on and off
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  [],
-  testFipsCrypto() ? FIPS_DISABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  '(require("crypto").setFips(true),' +
-  'require("crypto").setFips(false),' +
-  'require("crypto").getFips())',
-  process.env);
+  // setFipsCrypto should be able to turn FIPS mode on and off
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    [],
+    testFipsCrypto() ? FIPS_DISABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    '(require("crypto").setFips(true),' +
+    'require("crypto").setFips(false),' +
+    'require("crypto").getFips())',
+    process.env);
 
-// setFipsCrypto takes precedence over OpenSSL config file, FIPS on
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  [`--openssl-config=${CNF_FIPS_OFF}`],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  '(require("crypto").setFips(true),' +
-  'require("crypto").getFips())',
-  process.env);
-
-// setFipsCrypto takes precedence over OpenSSL config file, FIPS off
-testHelper(
-  'stdout',
-  [`--openssl-config=${CNF_FIPS_ON}`],
-  FIPS_DISABLED,
-  '(require("crypto").setFips(false),' +
-  'require("crypto").getFips())',
-  process.env);
+  // setFipsCrypto takes precedence over OpenSSL config file, FIPS on
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    [`--openssl-config=${CNF_FIPS_OFF}`],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    '(require("crypto").setFips(true),' +
+    'require("crypto").getFips())',
+    process.env);
 
-// --enable-fips does not prevent use of setFipsCrypto API
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  ['--enable-fips'],
-  testFipsCrypto() ? FIPS_DISABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  '(require("crypto").setFips(false),' +
-  'require("crypto").getFips())',
-  process.env);
-
-// --force-fips prevents use of setFipsCrypto API
-testHelper(
-  'stderr',
-  ['--force-fips'],
-  testFipsCrypto() ? FIPS_ERROR_STRING2 : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").setFips(false)',
-  process.env);
+  // setFipsCrypto takes precedence over OpenSSL config file, FIPS off
+  testHelper(
+    'stdout',
+    [`--openssl-config=${CNF_FIPS_ON}`],
+    FIPS_DISABLED,
+    '(require("crypto").setFips(false),' +
+    'require("crypto").getFips())',
+    process.env);
 
-// --force-fips makes setFipsCrypto enable a no-op (FIPS stays on)
-testHelper(
-  testFipsCrypto() ? 'stdout' : 'stderr',
-  ['--force-fips'],
-  testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
-  '(require("crypto").setFips(true),' +
-  'require("crypto").getFips())',
-  process.env);
-
-// --force-fips and --enable-fips order does not matter
-testHelper(
-  'stderr',
-  ['--force-fips', '--enable-fips'],
-  testFipsCrypto() ? FIPS_ERROR_STRING2 : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").setFips(false)',
-  process.env);
+  // --enable-fips does not prevent use of setFipsCrypto API
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    ['--enable-fips'],
+    testFipsCrypto() ? FIPS_DISABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    '(require("crypto").setFips(false),' +
+    'require("crypto").getFips())',
+    process.env);
 
-// --enable-fips and --force-fips order does not matter
-testHelper(
-  'stderr',
-  ['--enable-fips', '--force-fips'],
-  testFipsCrypto() ? FIPS_ERROR_STRING2 : FIPS_UNSUPPORTED_ERROR_STRING,
-  'require("crypto").setFips(false)',
-  process.env);
+  // --force-fips prevents use of setFipsCrypto API
+  testHelper(
+    'stderr',
+    ['--force-fips'],
+    testFipsCrypto() ? FIPS_ERROR_STRING2 : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").setFips(false)',
+    process.env);
+
+  // --force-fips makes setFipsCrypto enable a no-op (FIPS stays on)
+  testHelper(
+    testFipsCrypto() ? 'stdout' : 'stderr',
+    ['--force-fips'],
+    testFipsCrypto() ? FIPS_ENABLED : FIPS_UNSUPPORTED_ERROR_STRING,
+    '(require("crypto").setFips(true),' +
+    'require("crypto").getFips())',
+    process.env);
+
+  // --force-fips and --enable-fips order does not matter
+  testHelper(
+    'stderr',
+    ['--force-fips', '--enable-fips'],
+    testFipsCrypto() ? FIPS_ERROR_STRING2 : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").setFips(false)',
+    process.env);
+
+  // --enable-fips and --force-fips order does not matter
+  testHelper(
+    'stderr',
+    ['--enable-fips', '--force-fips'],
+    testFipsCrypto() ? FIPS_ERROR_STRING2 : FIPS_UNSUPPORTED_ERROR_STRING,
+    'require("crypto").setFips(false)',
+    process.env);
+}
diff --git a/test/parallel/test-crypto-hkdf.js b/test/parallel/test-crypto-hkdf.js
index 777f184d6b8366..ee9f56c87c430d 100644
--- a/test/parallel/test-crypto-hkdf.js
+++ b/test/parallel/test-crypto-hkdf.js
@@ -113,11 +113,14 @@ const {
     });
 }
 
-[
+const algorithms = [
   ['sha256', 'secret', 'salt', 'info', 10],
   ['sha512', 'secret', 'salt', '', 15],
-  ['whirlpool', 'secret', '', 'info', 20],
-].forEach(([ hash, secret, salt, info, length ]) => {
+];
+if (!common.hasOpenSSL3)
+  algorithms.push(['whirlpool', 'secret', '', 'info', 20]);
+
+algorithms.forEach(([ hash, secret, salt, info, length ]) => {
   {
     const syncResult = hkdfSync(hash, secret, salt, info, length);
     assert(syncResult instanceof ArrayBuffer);
@@ -204,7 +207,8 @@ const {
   }
 });
 
-{
+
+if (!common.hasOpenSSL3) {
   const kKnownUnsupported = ['shake128', 'shake256'];
   getHashes()
     .filter((hash) => !kKnownUnsupported.includes(hash))
diff --git a/test/parallel/test-crypto-key-objects.js b/test/parallel/test-crypto-key-objects.js
index 6ee5334851dace..871d5da66c2bd3 100644
--- a/test/parallel/test-crypto-key-objects.js
+++ b/test/parallel/test-crypto-key-objects.js
@@ -292,7 +292,9 @@ const privateDsa = fixtures.readKey('dsa_private_encrypted_1025.pem',
   // This should not cause a crash: https://github.com/nodejs/node/issues/25247
   assert.throws(() => {
     createPrivateKey({ key: '' });
-  }, {
+  }, common.hasOpenSSL3 ? {
+    message: 'Failed to read private key',
+  } : {
     message: 'error:0909006C:PEM routines:get_name:no start line',
     code: 'ERR_OSSL_PEM_NO_START_LINE',
     reason: 'no start line',
@@ -500,7 +502,10 @@ const privateDsa = fixtures.readKey('dsa_private_encrypted_1025.pem',
 
 {
   // Reading an encrypted key without a passphrase should fail.
-  assert.throws(() => createPrivateKey(privateDsa), {
+  assert.throws(() => createPrivateKey(privateDsa), common.hasOpenSSL3 ? {
+    name: 'Error',
+    message: 'Failed to read private key',
+  } : {
     name: 'TypeError',
     code: 'ERR_MISSING_PASSPHRASE',
     message: 'Passphrase required for encrypted key'
@@ -512,7 +517,7 @@ const privateDsa = fixtures.readKey('dsa_private_encrypted_1025.pem',
     key: privateDsa,
     format: 'pem',
     passphrase: Buffer.alloc(1025, 'a')
-  }), {
+  }), common.hasOpenSSL3 ? { name: 'Error' } : {
     code: 'ERR_OSSL_PEM_BAD_PASSWORD_READ',
     name: 'Error'
   });
@@ -524,7 +529,9 @@ const privateDsa = fixtures.readKey('dsa_private_encrypted_1025.pem',
     format: 'pem',
     passphrase: Buffer.alloc(1024, 'a')
   }), {
-    message: /bad decrypt/
+    message: common.hasOpenSSL3 ?
+      'Failed to read private key' :
+      /bad decrypt/
   });
 
   const publicKey = createPublicKey(publicDsa);
diff --git a/test/parallel/test-crypto-keygen.js b/test/parallel/test-crypto-keygen.js
index b80b35135743d9..af73d5a6b45fd6 100644
--- a/test/parallel/test-crypto-keygen.js
+++ b/test/parallel/test-crypto-keygen.js
@@ -192,7 +192,7 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
 
   // Now do the same with an encrypted private key.
   generateKeyPair('rsa', {
-    publicExponent: 0x1001,
+    publicExponent: 0x10001,
     modulusLength: 512,
     publicKeyEncoding,
     privateKeyEncoding: {
@@ -210,11 +210,15 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
 
     // Since the private key is encrypted, signing shouldn't work anymore.
     const publicKey = { key: publicKeyDER, ...publicKeyEncoding };
-    assert.throws(() => testSignVerify(publicKey, privateKey), {
+    const expectedError = common.hasOpenSSL3 ? {
+      name: 'Error',
+      message: 'Failed to read private key'
+    } : {
       name: 'TypeError',
       code: 'ERR_MISSING_PASSPHRASE',
       message: 'Passphrase required for encrypted key'
-    });
+    };
+    assert.throws(() => testSignVerify(publicKey, privateKey), expectedError);
 
     const key = { key: privateKey, passphrase: 'secret' };
     testEncryptDecrypt(publicKey, key);
@@ -342,7 +346,7 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
 
   // Test async DSA key generation.
   generateKeyPair('dsa', {
-    modulusLength: 512,
+    modulusLength: common.hasOpenSSL3 ? 2048 : 512,
     divisorLength: 256,
     publicKeyEncoding: {
       type: 'spki',
@@ -359,8 +363,8 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
     // The private key is DER-encoded.
     assert(Buffer.isBuffer(privateKeyDER));
 
-    assertApproximateSize(publicKey, 440);
-    assertApproximateSize(privateKeyDER, 336);
+    assertApproximateSize(publicKey, common.hasOpenSSL3 ? 1194 : 440);
+    assertApproximateSize(privateKeyDER, common.hasOpenSSL3 ? 721 : 336);
 
     // Since the private key is encrypted, signing shouldn't work anymore.
     assert.throws(() => {
@@ -382,7 +386,6 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
     });
   }));
 }
-
 {
   // Test async DSA key object generation.
   generateKeyPair('dsa', {
@@ -471,11 +474,14 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
     assert(sec1EncExp('AES-128-CBC').test(privateKey));
 
     // Since the private key is encrypted, signing shouldn't work anymore.
-    assert.throws(() => testSignVerify(publicKey, privateKey), {
-      name: 'TypeError',
-      code: 'ERR_MISSING_PASSPHRASE',
-      message: 'Passphrase required for encrypted key'
-    });
+    assert.throws(() => testSignVerify(publicKey, privateKey),
+                  common.hasOpenSSL3 ? {
+                    message: 'Failed to read private key'
+                  } : {
+                    name: 'TypeError',
+                    code: 'ERR_MISSING_PASSPHRASE',
+                    message: 'Passphrase required for encrypted key'
+                  });
 
     testSignVerify(publicKey, { key: privateKey, passphrase: 'secret' });
   }));
@@ -501,11 +507,14 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
     assert(sec1EncExp('AES-128-CBC').test(privateKey));
 
     // Since the private key is encrypted, signing shouldn't work anymore.
-    assert.throws(() => testSignVerify(publicKey, privateKey), {
-      name: 'TypeError',
-      code: 'ERR_MISSING_PASSPHRASE',
-      message: 'Passphrase required for encrypted key'
-    });
+    assert.throws(() => testSignVerify(publicKey, privateKey),
+                  common.hasOpenSSL3 ? {
+                    message: 'Failed to read private key'
+                  } : {
+                    name: 'TypeError',
+                    code: 'ERR_MISSING_PASSPHRASE',
+                    message: 'Passphrase required for encrypted key'
+                  });
 
     testSignVerify(publicKey, { key: privateKey, passphrase: 'secret' });
   }));
@@ -534,11 +543,14 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
     assert(pkcs8EncExp.test(privateKey));
 
     // Since the private key is encrypted, signing shouldn't work anymore.
-    assert.throws(() => testSignVerify(publicKey, privateKey), {
-      name: 'TypeError',
-      code: 'ERR_MISSING_PASSPHRASE',
-      message: 'Passphrase required for encrypted key'
-    });
+    assert.throws(() => testSignVerify(publicKey, privateKey),
+                  common.hasOpenSSL3 ? {
+                    message: 'Failed to read private key'
+                  } : {
+                    name: 'TypeError',
+                    code: 'ERR_MISSING_PASSPHRASE',
+                    message: 'Passphrase required for encrypted key'
+                  });
 
     testSignVerify(publicKey, {
       key: privateKey,
@@ -568,11 +580,14 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
     assert(pkcs8EncExp.test(privateKey));
 
     // Since the private key is encrypted, signing shouldn't work anymore.
-    assert.throws(() => testSignVerify(publicKey, privateKey), {
-      name: 'TypeError',
-      code: 'ERR_MISSING_PASSPHRASE',
-      message: 'Passphrase required for encrypted key'
-    });
+    assert.throws(() => testSignVerify(publicKey, privateKey),
+                  common.hasOpenSSL3 ? {
+                    message: 'Failed to read private key'
+                  } : {
+                    name: 'TypeError',
+                    code: 'ERR_MISSING_PASSPHRASE',
+                    message: 'Passphrase required for encrypted key'
+                  });
 
     testSignVerify(publicKey, {
       key: privateKey,
@@ -1246,7 +1261,7 @@ const sec1EncExp = (cipher) => getRegExpForPEM('EC PRIVATE KEY', cipher);
   }
 }
 
-{
+if (!common.hasOpenSSL3) {
   // Passing an empty passphrase string should not cause OpenSSL's default
   // passphrase prompt in the terminal.
   // See https://github.com/nodejs/node/issues/35898.
diff --git a/test/parallel/test-crypto-padding.js b/test/parallel/test-crypto-padding.js
index 909c014bd0f87a..f1f14b472997e7 100644
--- a/test/parallel/test-crypto-padding.js
+++ b/test/parallel/test-crypto-padding.js
@@ -82,12 +82,17 @@ assert.strictEqual(enc(EVEN_LENGTH_PLAIN, true), EVEN_LENGTH_ENCRYPTED);
 assert.throws(function() {
   // Input must have block length %.
   enc(ODD_LENGTH_PLAIN, false);
-}, {
+}, common.hasOpenSSL3 ? {
+  message: 'error:1C80006B:Provider routines::wrong final block length',
+  code: 'ERR_OSSL_WRONG_FINAL_BLOCK_LENGTH',
+  reason: 'wrong final block length',
+} : {
   message: 'error:0607F08A:digital envelope routines:EVP_EncryptFinal_ex:' +
     'data not multiple of block length',
   code: 'ERR_OSSL_EVP_DATA_NOT_MULTIPLE_OF_BLOCK_LENGTH',
   reason: 'data not multiple of block length',
-});
+}
+);
 
 assert.strictEqual(
   enc(EVEN_LENGTH_PLAIN, false), EVEN_LENGTH_ENCRYPTED_NOPAD
@@ -104,7 +109,11 @@ assert.strictEqual(dec(EVEN_LENGTH_ENCRYPTED, false).length, 48);
 assert.throws(function() {
   // Must have at least 1 byte of padding (PKCS):
   assert.strictEqual(dec(EVEN_LENGTH_ENCRYPTED_NOPAD, true), EVEN_LENGTH_PLAIN);
-}, {
+}, common.hasOpenSSL3 ? {
+  message: 'error:1C800064:Provider routines::bad decrypt',
+  reason: 'bad decrypt',
+  code: 'ERR_OSSL_BAD_DECRYPT',
+} : {
   message: 'error:06065064:digital envelope routines:EVP_DecryptFinal_ex:' +
     'bad decrypt',
   reason: 'bad decrypt',
diff --git a/test/parallel/test-crypto-pbkdf2.js b/test/parallel/test-crypto-pbkdf2.js
index ea0fbab7744b1f..260bdd394ce05e 100644
--- a/test/parallel/test-crypto-pbkdf2.js
+++ b/test/parallel/test-crypto-pbkdf2.js
@@ -223,9 +223,11 @@ assert.throws(
   }
 );
 
-const kNotPBKDF2Supported = ['shake128', 'shake256'];
-crypto.getHashes()
-  .filter((hash) => !kNotPBKDF2Supported.includes(hash))
-  .forEach((hash) => {
-    runPBKDF2(new Uint8Array(10), 'salt', 8, 8, hash);
-  });
+if (!common.hasOpenSSL3) {
+  const kNotPBKDF2Supported = ['shake128', 'shake256'];
+  crypto.getHashes()
+    .filter((hash) => !kNotPBKDF2Supported.includes(hash))
+    .forEach((hash) => {
+      runPBKDF2(new Uint8Array(10), 'salt', 8, 8, hash);
+    });
+}
diff --git a/test/parallel/test-crypto-private-decrypt-gh32240.js b/test/parallel/test-crypto-private-decrypt-gh32240.js
index 4b48774145a3f8..875888622cb5f7 100644
--- a/test/parallel/test-crypto-private-decrypt-gh32240.js
+++ b/test/parallel/test-crypto-private-decrypt-gh32240.js
@@ -34,5 +34,7 @@ function decrypt(key) {
 }
 
 decrypt(pkey);
-assert.throws(() => decrypt(pkeyEncrypted), { code: 'ERR_MISSING_PASSPHRASE' });
+assert.throws(() => decrypt(pkeyEncrypted), common.hasOpenSSL3 ?
+  { message: 'Failed to read asymmetric key' } :
+  { code: 'ERR_MISSING_PASSPHRASE' });
 decrypt(pkey);  // Should not throw.
diff --git a/test/parallel/test-crypto-rsa-dsa.js b/test/parallel/test-crypto-rsa-dsa.js
index 04de044be69aaa..94c810fa6f24c6 100644
--- a/test/parallel/test-crypto-rsa-dsa.js
+++ b/test/parallel/test-crypto-rsa-dsa.js
@@ -27,7 +27,7 @@ const dsaPkcs8KeyPem = fixtures.readKey('dsa_private_pkcs8.pem');
 
 const ec = new TextEncoder();
 
-const decryptError = {
+const openssl1DecryptError = {
   message: 'error:06065064:digital envelope routines:EVP_DecryptFinal_ex:' +
     'bad decrypt',
   code: 'ERR_OSSL_EVP_BAD_DECRYPT',
@@ -36,6 +36,13 @@ const decryptError = {
   library: 'digital envelope routines',
 };
 
+const decryptError = common.hasOpenSSL3 ?
+  { message: 'Failed to read asymmetric key' } : openssl1DecryptError;
+
+const decryptPrivateKeyError = common.hasOpenSSL3 ? {
+  message: 'Failed to read private key',
+} : openssl1DecryptError;
+
 function getBufferCopy(buf) {
   return buf.buffer.slice(buf.byteOffset, buf.byteOffset + buf.byteLength);
 }
@@ -136,19 +143,25 @@ function getBufferCopy(buf) {
   assert.strictEqual(decryptedBufferWithPassword.toString(), input);
 
   // Now with RSA_NO_PADDING. Plaintext needs to match key size.
-  const plaintext = 'x'.repeat(rsaKeySize / 8);
-  encryptedBuffer = crypto.privateEncrypt({
-    padding: crypto.constants.RSA_NO_PADDING,
-    key: rsaKeyPemEncrypted,
-    passphrase: bufferPassword
-  }, Buffer.from(plaintext));
-
-  decryptedBufferWithPassword = crypto.publicDecrypt({
-    padding: crypto.constants.RSA_NO_PADDING,
-    key: rsaKeyPemEncrypted,
-    passphrase: bufferPassword
-  }, encryptedBuffer);
-  assert.strictEqual(decryptedBufferWithPassword.toString(), plaintext);
+  // OpenSSL 3.x has a rsa_check_padding that will cause an error if
+  // RSA_NO_PADDING is used.
+  if (!common.hasOpenSSL3) {
+    {
+      const plaintext = 'x'.repeat(rsaKeySize / 8);
+      encryptedBuffer = crypto.privateEncrypt({
+        padding: crypto.constants.RSA_NO_PADDING,
+        key: rsaKeyPemEncrypted,
+        passphrase: bufferPassword
+      }, Buffer.from(plaintext));
+
+      decryptedBufferWithPassword = crypto.publicDecrypt({
+        padding: crypto.constants.RSA_NO_PADDING,
+        key: rsaKeyPemEncrypted,
+        passphrase: bufferPassword
+      }, encryptedBuffer);
+      assert.strictEqual(decryptedBufferWithPassword.toString(), plaintext);
+    }
+  }
 
   encryptedBuffer = crypto.publicEncrypt(certPem, bufferToEncrypt);
 
@@ -343,7 +356,7 @@ rsaSign.update(rsaPubPem);
 assert.throws(() => {
   const signOptions = { key: rsaKeyPemEncrypted, passphrase: 'wrong' };
   rsaSign.sign(signOptions, 'hex');
-}, decryptError);
+}, decryptPrivateKeyError);
 
 //
 // Test RSA signing and verification
@@ -442,7 +455,7 @@ const input = 'I AM THE WALRUS';
   sign.update(input);
   assert.throws(() => {
     sign.sign({ key: dsaKeyPemEncrypted, passphrase: 'wrong' }, 'hex');
-  }, decryptError);
+  }, decryptPrivateKeyError);
 }
 
 {
diff --git a/test/parallel/test-crypto-secure-heap.js b/test/parallel/test-crypto-secure-heap.js
index f6bdc3a2d8a05c..fd6a90658d129d 100644
--- a/test/parallel/test-crypto-secure-heap.js
+++ b/test/parallel/test-crypto-secure-heap.js
@@ -29,7 +29,8 @@ if (process.argv[2] === 'child') {
   assert.strictEqual(a.used, 0);
 
   {
-    const dh1 = createDiffieHellman(common.hasFipsCrypto ? 1024 : 256);
+    const size = common.hasFipsCrypto || common.hasOpenSSL3 ? 1024 : 256;
+    const dh1 = createDiffieHellman(size);
     const p1 = dh1.getPrime('buffer');
     const dh2 = createDiffieHellman(p1, 'buffer');
     const key1 = dh1.generateKeys();
diff --git a/test/parallel/test-crypto-sign-verify.js b/test/parallel/test-crypto-sign-verify.js
index 8240e3685a42ee..dc90e5b311bdf3 100644
--- a/test/parallel/test-crypto-sign-verify.js
+++ b/test/parallel/test-crypto-sign-verify.js
@@ -44,7 +44,9 @@ const keySize = 2048;
       `-----BEGIN RSA PRIVATE KEY-----
       AAAAAAAAAAAA
       -----END RSA PRIVATE KEY-----`);
-  }, { message: 'bye, bye, library' });
+  }, { message: common.hasOpenSSL3 ?
+    'Failed to read private key' :
+    'bye, bye, library' });
 
   delete Object.prototype.library;
 
@@ -63,7 +65,9 @@ const keySize = 2048;
         key: keyPem,
         padding: crypto.constants.RSA_PKCS1_OAEP_PADDING
       });
-  }, { message: 'bye, bye, error stack' });
+  }, { message: common.hasOpenSSL3 ?
+    'error:1C8000A5:Provider routines::illegal or unsupported padding mode' :
+    'bye, bye, error stack' });
 
   delete Object.prototype.opensslErrorStack;
 }
@@ -339,7 +343,10 @@ assert.throws(
         key: keyPem,
         padding: crypto.constants.RSA_PKCS1_OAEP_PADDING
       });
-  }, {
+  }, common.hasOpenSSL3 ? {
+    code: 'ERR_OSSL_ILLEGAL_OR_UNSUPPORTED_PADDING_MODE',
+    message: /illegal or unsupported padding mode/,
+  } : {
     code: 'ERR_OSSL_RSA_ILLEGAL_OR_UNSUPPORTED_PADDING_MODE',
     message: /illegal or unsupported padding mode/,
     opensslErrorStack: [
diff --git a/test/parallel/test-crypto-stream.js b/test/parallel/test-crypto-stream.js
index 2d005c89db3f09..008ab129f0e019 100644
--- a/test/parallel/test-crypto-stream.js
+++ b/test/parallel/test-crypto-stream.js
@@ -71,7 +71,11 @@ const cipher = crypto.createCipheriv('aes-128-cbc', key, iv);
 const decipher = crypto.createDecipheriv('aes-128-cbc', badkey, iv);
 
 cipher.pipe(decipher)
-  .on('error', common.expectsError({
+  .on('error', common.expectsError(common.hasOpenSSL3 ? {
+    message: /bad decrypt/,
+    library: 'Provider routines',
+    reason: 'bad decrypt',
+  } : {
     message: /bad decrypt/,
     function: 'EVP_DecryptFinal_ex',
     library: 'digital envelope routines',
diff --git a/test/parallel/test-crypto-x509.js b/test/parallel/test-crypto-x509.js
index d768a1b9c5e661..0915cb61fd4226 100644
--- a/test/parallel/test-crypto-x509.js
+++ b/test/parallel/test-crypto-x509.js
@@ -46,9 +46,10 @@ OU=Node.js
 CN=ca1
 emailAddress=ry@tinyclouds.org`;
 
-const infoAccessCheck = `OCSP - URI:http://ocsp.nodejs.org/
-CA Issuers - URI:http://ca.nodejs.org/ca.cert
-`;
+let infoAccessCheck = `OCSP - URI:http://ocsp.nodejs.org/
+CA Issuers - URI:http://ca.nodejs.org/ca.cert`;
+if (!common.hasOpenSSL3)
+  infoAccessCheck += '\n';
 
 const der = Buffer.from(
   '308202d830820241a003020102020900ecc9b856270da9a830' +
@@ -207,8 +208,11 @@ const der = Buffer.from(
       'CN=ca1\n' +
       'emailAddress=ry@tinyclouds.org',
     infoAccess:
-      'OCSP - URI:http://ocsp.nodejs.org/\n' +
-      'CA Issuers - URI:http://ca.nodejs.org/ca.cert\n',
+      common.hasOpenSSL3 ?
+        'OCSP - URI:http://ocsp.nodejs.org/\n' +
+        'CA Issuers - URI:http://ca.nodejs.org/ca.cert' :
+        'OCSP - URI:http://ocsp.nodejs.org/\n' +
+        'CA Issuers - URI:http://ca.nodejs.org/ca.cert\n',
     modulus: 'EF5440701637E28ABB038E5641F828D834C342A9D25EDBB86A2BF' +
              '6FBD809CB8E037A98B71708E001242E4DEB54C6164885F599DD87' +
              'A23215745955BE20417E33C4D0D1B80C9DA3DE419A2607195D2FB' +
diff --git a/test/parallel/test-crypto.js b/test/parallel/test-crypto.js
index 6b72dbd21cd07d..623320fb1907f1 100644
--- a/test/parallel/test-crypto.js
+++ b/test/parallel/test-crypto.js
@@ -216,8 +216,13 @@ assert.throws(() => {
   ].join('\n');
   crypto.createSign('SHA256').update('test').sign(priv);
 }, (err) => {
-  assert.ok(!('opensslErrorStack' in err));
-  assert.throws(() => { throw err; }, {
+  if (!common.hasOpenSSL3)
+    assert.ok(!('opensslErrorStack' in err));
+  assert.throws(() => { throw err; }, common.hasOpenSSL3 ? {
+    name: 'Error',
+    message: 'error:02000070:rsa routines::digest too big for rsa key',
+    library: 'rsa routines',
+  } : {
     name: 'Error',
     message: /routines:RSA_sign:digest too big for rsa key$/,
     library: 'rsa routines',
@@ -228,30 +233,33 @@ assert.throws(() => {
   return true;
 });
 
-assert.throws(() => {
-  // The correct header inside `rsa_private_pkcs8_bad.pem` should have been
-  // -----BEGIN PRIVATE KEY----- and -----END PRIVATE KEY-----
-  // instead of
-  // -----BEGIN RSA PRIVATE KEY----- and -----END RSA PRIVATE KEY-----
-  const sha1_privateKey = fixtures.readKey('rsa_private_pkcs8_bad.pem',
-                                           'ascii');
-  // This would inject errors onto OpenSSL's error stack
-  crypto.createSign('sha1').sign(sha1_privateKey);
-}, (err) => {
-  // Do the standard checks, but then do some custom checks afterwards.
-  assert.throws(() => { throw err; }, {
-    message: 'error:0D0680A8:asn1 encoding routines:asn1_check_tlen:wrong tag',
-    library: 'asn1 encoding routines',
-    function: 'asn1_check_tlen',
-    reason: 'wrong tag',
-    code: 'ERR_OSSL_ASN1_WRONG_TAG',
+if (!common.hasOpenSSL3) {
+  assert.throws(() => {
+    // The correct header inside `rsa_private_pkcs8_bad.pem` should have been
+    // -----BEGIN PRIVATE KEY----- and -----END PRIVATE KEY-----
+    // instead of
+    // -----BEGIN RSA PRIVATE KEY----- and -----END RSA PRIVATE KEY-----
+    const sha1_privateKey = fixtures.readKey('rsa_private_pkcs8_bad.pem',
+                                             'ascii');
+    // This would inject errors onto OpenSSL's error stack
+    crypto.createSign('sha1').sign(sha1_privateKey);
+  }, (err) => {
+    // Do the standard checks, but then do some custom checks afterwards.
+    assert.throws(() => { throw err; }, {
+      message: 'error:0D0680A8:asn1 encoding routines:asn1_check_tlen:' +
+               'wrong tag',
+      library: 'asn1 encoding routines',
+      function: 'asn1_check_tlen',
+      reason: 'wrong tag',
+      code: 'ERR_OSSL_ASN1_WRONG_TAG',
+    });
+    // Throws crypto error, so there is an opensslErrorStack property.
+    // The openSSL stack should have content.
+    assert(Array.isArray(err.opensslErrorStack));
+    assert(err.opensslErrorStack.length > 0);
+    return true;
   });
-  // Throws crypto error, so there is an opensslErrorStack property.
-  // The openSSL stack should have content.
-  assert(Array.isArray(err.opensslErrorStack));
-  assert(err.opensslErrorStack.length > 0);
-  return true;
-});
+}
 
 // Make sure memory isn't released before being returned
 console.log(crypto.randomBytes(16));
diff --git a/test/parallel/test-https-agent-additional-options.js b/test/parallel/test-https-agent-additional-options.js
index 2b5446b9e3d194..c92b17641d0b58 100644
--- a/test/parallel/test-https-agent-additional-options.js
+++ b/test/parallel/test-https-agent-additional-options.js
@@ -13,6 +13,7 @@ const options = {
   cert: fixtures.readKey('agent1-cert.pem'),
   ca: fixtures.readKey('ca1-cert.pem'),
   minVersion: 'TLSv1.1',
+  ciphers: 'ALL@SECLEVEL=0'
 };
 
 const server = https.Server(options, (req, res) => {
@@ -27,6 +28,7 @@ function getBaseOptions(port) {
     ca: options.ca,
     rejectUnauthorized: true,
     servername: 'agent1',
+    ciphers: 'ALL@SECLEVEL=0'
   };
 }
 
diff --git a/test/parallel/test-https-agent-session-eviction.js b/test/parallel/test-https-agent-session-eviction.js
index 3f5cd36e8b1799..940c43cc40bf15 100644
--- a/test/parallel/test-https-agent-session-eviction.js
+++ b/test/parallel/test-https-agent-session-eviction.js
@@ -13,7 +13,8 @@ const { SSL_OP_NO_TICKET } = require('crypto').constants;
 const options = {
   key: readKey('agent1-key.pem'),
   cert: readKey('agent1-cert.pem'),
-  secureOptions: SSL_OP_NO_TICKET
+  secureOptions: SSL_OP_NO_TICKET,
+  ciphers: 'RSA@SECLEVEL=0'
 };
 
 // Create TLS1.2 server
diff --git a/test/parallel/test-process-versions.js b/test/parallel/test-process-versions.js
index 788c380449b802..666c8ead3b15d2 100644
--- a/test/parallel/test-process-versions.js
+++ b/test/parallel/test-process-versions.js
@@ -35,7 +35,13 @@ assert(/^\d+\.\d+\.\d+(?:\.\d+)?-node\.\d+(?: \(candidate\))?$/
 assert(/^\d+$/.test(process.versions.modules));
 
 if (common.hasCrypto) {
-  assert(/^\d+\.\d+\.\d+[a-z]?(\+quic)?(-fips)?$/.test(process.versions.openssl));
+  const versionRegex = common.hasOpenSSL3 ?
+    // The following also matches a development version of OpenSSL 3.x which
+    // can be in the format '3.0.0-alpha4-dev'. This can be handy when building
+    // and linking against the main development branch of OpenSSL.
+    /^\d+\.\d+\.\d+(-[-a-z0-9]+)?$/ :
+    /^\d+\.\d+\.\d+[a-z]?(\+quic)?(-fips)?$/;
+  assert(versionRegex.test(process.versions.openssl));
 }
 
 for (let i = 0; i < expected_keys.length; i++) {
diff --git a/test/parallel/test-tls-alert-handling.js b/test/parallel/test-tls-alert-handling.js
index f9f42e2d51c04d..bd86149bc5ac22 100644
--- a/test/parallel/test-tls-alert-handling.js
+++ b/test/parallel/test-tls-alert-handling.js
@@ -33,7 +33,7 @@ let iter = 0;
 const errorHandler = common.mustCall((err) => {
   assert.strictEqual(err.code, 'ERR_SSL_WRONG_VERSION_NUMBER');
   assert.strictEqual(err.library, 'SSL routines');
-  assert.strictEqual(err.function, 'ssl3_get_record');
+  if (!common.hasOpenSSL3) assert.strictEqual(err.function, 'ssl3_get_record');
   assert.strictEqual(err.reason, 'wrong version number');
   errorReceived = true;
   if (canCloseServer())
@@ -89,7 +89,8 @@ function sendBADTLSRecord() {
   client.on('error', common.mustCall((err) => {
     assert.strictEqual(err.code, 'ERR_SSL_TLSV1_ALERT_PROTOCOL_VERSION');
     assert.strictEqual(err.library, 'SSL routines');
-    assert.strictEqual(err.function, 'ssl3_read_bytes');
+    if (!common.hasOpenSSL3)
+      assert.strictEqual(err.function, 'ssl3_read_bytes');
     assert.strictEqual(err.reason, 'tlsv1 alert protocol version');
   }));
 }
diff --git a/test/parallel/test-tls-cert-ext-encoding.js b/test/parallel/test-tls-cert-ext-encoding.js
index d4b89473dc126d..4556b5791851c5 100644
--- a/test/parallel/test-tls-cert-ext-encoding.js
+++ b/test/parallel/test-tls-cert-ext-encoding.js
@@ -3,6 +3,16 @@ const common = require('../common');
 if (!common.hasCrypto)
   common.skip('missing crypto');
 
+if (common.hasOpenSSL3)
+  // TODO(danbev) This test fails with the following error:
+  // error:0D00008F:asn1 encoding routines::no matching choice type
+  //
+  // I've not been able to figure out the reason for this but there
+  // is a note in https://wiki.openssl.org/index.php/OpenSSL_3.0 which
+  // indicates that this might not work at the moment:
+  // "OCSP, PEM, ASN.1 have some very limited library context support"
+  common.skip('when using OpenSSL 3.x');
+
 // NOTE: This certificate is hand-generated, hence it is not located in
 // `test/fixtures/keys` to avoid confusion.
 //
diff --git a/test/parallel/test-tls-client-renegotiation-13.js b/test/parallel/test-tls-client-renegotiation-13.js
index 075eb70e917c06..a32baed0249a0a 100644
--- a/test/parallel/test-tls-client-renegotiation-13.js
+++ b/test/parallel/test-tls-client-renegotiation-13.js
@@ -29,7 +29,9 @@ connect({
 
   const ok = client.renegotiate({}, common.mustCall((err) => {
     assert.throws(() => { throw err; }, {
-      message: 'error:1420410A:SSL routines:SSL_renegotiate:wrong ssl version',
+      message: common.hasOpenSSL3 ?
+        'error:0A00010A:SSL routines::wrong ssl version' :
+        'error:1420410A:SSL routines:SSL_renegotiate:wrong ssl version',
       code: 'ERR_SSL_WRONG_SSL_VERSION',
       library: 'SSL routines',
       reason: 'wrong ssl version',
diff --git a/test/parallel/test-tls-getprotocol.js b/test/parallel/test-tls-getprotocol.js
index a76ff0f3442a97..e4a16a818b5ba1 100644
--- a/test/parallel/test-tls-getprotocol.js
+++ b/test/parallel/test-tls-getprotocol.js
@@ -18,6 +18,7 @@ const clientConfigs = [
 
 const serverConfig = {
   secureProtocol: 'TLS_method',
+  ciphers: 'RSA@SECLEVEL=0',
   key: fixtures.readKey('agent2-key.pem'),
   cert: fixtures.readKey('agent2-cert.pem')
 };
diff --git a/test/parallel/test-tls-key-mismatch.js b/test/parallel/test-tls-key-mismatch.js
index b0c8affadefe95..fdbb3676267a9d 100644
--- a/test/parallel/test-tls-key-mismatch.js
+++ b/test/parallel/test-tls-key-mismatch.js
@@ -29,7 +29,8 @@ const fixtures = require('../common/fixtures');
 
 const assert = require('assert');
 const tls = require('tls');
-const errorMessageRegex =
+const errorMessageRegex = common.hasOpenSSL3 ?
+  /^Error: error:05800074:x509 certificate routines::key values mismatch$/ :
   /^Error: error:0B080074:x509 certificate routines:X509_check_private_key:key values mismatch$/;
 
 const options = {
diff --git a/test/parallel/test-tls-min-max-version.js b/test/parallel/test-tls-min-max-version.js
index 7ef0f12426537c..8dbef1fa37aa2d 100644
--- a/test/parallel/test-tls-min-max-version.js
+++ b/test/parallel/test-tls-min-max-version.js
@@ -14,6 +14,14 @@ const DEFAULT_MAX_VERSION = tls.DEFAULT_MAX_VERSION;
 
 function test(cmin, cmax, cprot, smin, smax, sprot, proto, cerr, serr) {
   assert(proto || cerr || serr, 'test missing any expectations');
+
+  let ciphers;
+  if (common.hasOpenSSL3 && (proto === 'TLSv1' || proto === 'TLSv1.1' ||
+      proto === 'TLSv1_1_method' || proto === 'TLSv1_method' ||
+      sprot === 'TLSv1_1_method' || sprot === 'TLSv1_method')) {
+    if (serr !== 'ERR_SSL_UNSUPPORTED_PROTOCOL')
+      ciphers = 'ALL@SECLEVEL=0';
+  }
   // Report where test was called from. Strip leading garbage from
   //     at Object.<anonymous> (file:line)
   // from the stack location, we only want the file:line part.
@@ -25,6 +33,7 @@ function test(cmin, cmax, cprot, smin, smax, sprot, proto, cerr, serr) {
       minVersion: cmin,
       maxVersion: cmax,
       secureProtocol: cprot,
+      ciphers: ciphers
     },
     server: {
       cert: keys.agent6.cert,
@@ -32,11 +41,12 @@ function test(cmin, cmax, cprot, smin, smax, sprot, proto, cerr, serr) {
       minVersion: smin,
       maxVersion: smax,
       secureProtocol: sprot,
+      ciphers: ciphers
     },
   }, common.mustCall((err, pair, cleanup) => {
     function u(_) { return _ === undefined ? 'U' : _; }
     console.log('test:', u(cmin), u(cmax), u(cprot), u(smin), u(smax), u(sprot),
-                'expect', u(proto), u(cerr), u(serr));
+                u(ciphers), 'expect', u(proto), u(cerr), u(serr));
     console.log('  ', where);
     if (!proto) {
       console.log('client', pair.client.err ? pair.client.err.code : undefined);
@@ -109,16 +119,19 @@ test(U, U, 'TLS_method', U, U, 'TLSv1_method', 'TLSv1');
 // minimum (which is configurable via command line).
 if (DEFAULT_MIN_VERSION === 'TLSv1.3') {
   test(U, U, 'TLSv1_2_method', U, U, 'SSLv23_method',
-       U, 'ECONNRESET', 'ERR_SSL_INTERNAL_ERROR');
+       U, 'ECONNRESET', common.hasOpenSSL3 ?
+         'ERR_SSL_NO_PROTOCOLS_AVAILABLE' : 'ERR_SSL_INTERNAL_ERROR');
 } else {
   test(U, U, 'TLSv1_2_method', U, U, 'SSLv23_method', 'TLSv1.2');
 }
 
 if (DEFAULT_MIN_VERSION === 'TLSv1.3') {
   test(U, U, 'TLSv1_1_method', U, U, 'SSLv23_method',
-       U, 'ECONNRESET', 'ERR_SSL_INTERNAL_ERROR');
+       U, 'ECONNRESET', common.hasOpenSSL3 ?
+         'ERR_SSL_NO_PROTOCOLS_AVAILABLE' : 'ERR_SSL_INTERNAL_ERROR');
   test(U, U, 'TLSv1_method', U, U, 'SSLv23_method',
-       U, 'ECONNRESET', 'ERR_SSL_INTERNAL_ERROR');
+       U, 'ECONNRESET', common.hasOpenSSL3 ?
+         'ERR_SSL_NO_PROTOCOLS_AVAILABLE' : 'ERR_SSL_INTERNAL_ERROR');
   test(U, U, 'SSLv23_method', U, U, 'TLSv1_1_method',
        U, 'ERR_SSL_NO_PROTOCOLS_AVAILABLE', 'ERR_SSL_UNEXPECTED_MESSAGE');
   test(U, U, 'SSLv23_method', U, U, 'TLSv1_method',
diff --git a/test/parallel/test-tls-passphrase.js b/test/parallel/test-tls-passphrase.js
index c3a99c3eb34833..610bbefe46c9c0 100644
--- a/test/parallel/test-tls-passphrase.js
+++ b/test/parallel/test-tls-passphrase.js
@@ -223,7 +223,8 @@ server.listen(0, common.mustCall(function() {
   }, onSecureConnect());
 })).unref();
 
-const errMessagePassword = /bad decrypt/;
+const errMessagePassword = common.hasOpenSSL3 ?
+  /processing error/ : /bad decrypt/;
 
 // Missing passphrase
 assert.throws(function() {
diff --git a/test/parallel/test-tls-session-cache.js b/test/parallel/test-tls-session-cache.js
index 2be093a4f596fc..92d39f763fc3b8 100644
--- a/test/parallel/test-tls-session-cache.js
+++ b/test/parallel/test-tls-session-cache.js
@@ -50,6 +50,7 @@ function doTest(testOptions, callback) {
     requestCert: true,
     rejectUnauthorized: false,
     secureProtocol: 'TLS_method',
+    ciphers: 'RSA@SECLEVEL=0'
   };
   let requestCount = 0;
   let resumeCount = 0;
diff --git a/test/parallel/test-tls-set-secure-context.js b/test/parallel/test-tls-set-secure-context.js
index f72daff6ef14fb..1e2abffa98bf67 100644
--- a/test/parallel/test-tls-set-secure-context.js
+++ b/test/parallel/test-tls-set-secure-context.js
@@ -53,9 +53,12 @@ server.listen(0, common.mustCall(() => {
 
     server.setSecureContext(credentialOptions[1]);
     firstResponse.write('request-');
+    const errorMessageRegex = common.hasOpenSSL3 ?
+      /^Error: self-signed certificate$/ :
+      /^Error: self signed certificate$/;
     await assert.rejects(async () => {
       await makeRequest(port, 3);
-    }, /^Error: self signed certificate$/);
+    }, errorMessageRegex);
 
     server.setSecureContext(credentialOptions[0]);
     assert.strictEqual(await makeRequest(port, 4), 'success');
@@ -64,7 +67,7 @@ server.listen(0, common.mustCall(() => {
     firstResponse.end('fun!');
     await assert.rejects(async () => {
       await makeRequest(port, 5);
-    }, /^Error: self signed certificate$/);
+    }, errorMessageRegex);
 
     assert.strictEqual(await firstRequest, 'multi-request-success-fun!');
     server.close();
diff --git a/test/parallel/test-tls-write-error.js b/test/parallel/test-tls-write-error.js
index 2783e62d063a28..776fe65c722637 100644
--- a/test/parallel/test-tls-write-error.js
+++ b/test/parallel/test-tls-write-error.js
@@ -16,7 +16,8 @@ const server_cert = fixtures.readKey('agent1-cert.pem');
 
 const opts = {
   key: server_key,
-  cert: server_cert
+  cert: server_cert,
+  ciphers: 'ALL@SECLEVEL=0'
 };
 
 const server = https.createServer(opts, (req, res) => {