diff --git a/packages/crypto/src/pbkdf2.ts b/packages/crypto/src/pbkdf2.ts
index 110b16e265..889e652056 100644
--- a/packages/crypto/src/pbkdf2.ts
+++ b/packages/crypto/src/pbkdf2.ts
@@ -10,10 +10,14 @@ import { sha512 as nobleSha512 } from "@noble/hashes/sha512";
  * `undefined` in that case.
  */
 export async function getCryptoModule(): Promise<any | undefined> {
+  const g: any = globalThis;
+  if (g.crypto) {
+    return g.crypto;
+  }
   try {
-    const crypto = await import("crypto");
+    const crypto = await require("crypto");
     // We get `Object{default: Object{}}` as a fallback when using
-    // `crypto: false` in Webpack 5, which we interprete as unavailable.
+    // `crypto: false` in Webpack 5, which we interpret as unavailable.
     if (typeof crypto === "object" && Object.keys(crypto).length <= 1) {
       return undefined;
     }
@@ -24,15 +28,12 @@ export async function getCryptoModule(): Promise<any | undefined> {
 }
 
 export async function getSubtle(): Promise<any | undefined> {
-  const g: any = globalThis;
-  let subtle = g.crypto && g.crypto.subtle;
-  if (!subtle) {
-    const crypto = await getCryptoModule();
-    if (crypto && crypto.webcrypto && crypto.webcrypto.subtle) {
-      subtle = crypto.webcrypto.subtle;
-    }
+  const crypto = await getCryptoModule();
+  if (crypto && crypto.subtle) {
+    return crypto.subtle;
+  } else if (crypto.webcrypto && crypto.webcrypto.subtle) {
+    return crypto.webcrypto.subtle;
   }
-  return subtle;
 }
 
 export async function pbkdf2Sha512Subtle(
@@ -108,12 +109,11 @@ export async function pbkdf2Sha512(
   const subtle = await getSubtle();
   if (subtle) {
     return pbkdf2Sha512Subtle(subtle, secret, salt, iterations, keylen);
+  }
+  const crypto = await getCryptoModule();
+  if (crypto) {
+    return pbkdf2Sha512Crypto(crypto, secret, salt, iterations, keylen);
   } else {
-    const crypto = await getCryptoModule();
-    if (crypto) {
-      return pbkdf2Sha512Crypto(crypto, secret, salt, iterations, keylen);
-    } else {
-      return pbkdf2Sha512Noble(secret, salt, iterations, keylen);
-    }
+    return pbkdf2Sha512Noble(secret, salt, iterations, keylen);
   }
 }