diff --git a/include/mbedtls/config_psa.h b/include/mbedtls/config_psa.h
index ea822803b991..39a500163435 100644
--- a/include/mbedtls/config_psa.h
+++ b/include/mbedtls/config_psa.h
@@ -642,7 +642,8 @@ extern "C" {
 #define PSA_WANT_ECC_MONTGOMERY_255
 #endif
 
-#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
+/* Curve448 is not yet supported via the PSA API (https://github.com/ARMmbed/mbedtls/issues/4249) */
+#if 0 && defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
 #define MBEDTLS_PSA_BUILTIN_ECC_MONTGOMERY_448 1
 #define PSA_WANT_ECC_MONTGOMERY_448
 #endif
@@ -677,7 +678,8 @@ extern "C" {
 #define PSA_WANT_ECC_SECP_K1_192
 #endif
 
-#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
+/* SECP224K1 is buggy via the PSA API (https://github.com/ARMmbed/mbedtls/issues/3541) */
+#if 0 && defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
 #define MBEDTLS_PSA_BUILTIN_ECC_SECP_K1_224 1
 #define PSA_WANT_ECC_SECP_K1_224
 #endif
diff --git a/include/psa/crypto_config.h b/include/psa/crypto_config.h
index 97395d89492b..afbaa66e54e3 100644
--- a/include/psa/crypto_config.h
+++ b/include/psa/crypto_config.h
@@ -84,9 +84,11 @@
 #define PSA_WANT_ECC_BRAINPOOL_P_R1_384         1
 #define PSA_WANT_ECC_BRAINPOOL_P_R1_512         1
 #define PSA_WANT_ECC_MONTGOMERY_255             1
-#define PSA_WANT_ECC_MONTGOMERY_448             1
+/* Curve448 is not yet supported via the PSA API (https://github.com/ARMmbed/mbedtls/issues/4249) */
+//#define PSA_WANT_ECC_MONTGOMERY_448             1
 #define PSA_WANT_ECC_SECP_K1_192                1
-#define PSA_WANT_ECC_SECP_K1_224                1
+/* SECP224K1 is buggy via the PSA API (https://github.com/ARMmbed/mbedtls/issues/3541) */
+//#define PSA_WANT_ECC_SECP_K1_224                1
 #define PSA_WANT_ECC_SECP_K1_256                1
 #define PSA_WANT_ECC_SECP_R1_192                1
 #define PSA_WANT_ECC_SECP_R1_224                1
diff --git a/library/psa_crypto.c b/library/psa_crypto.c
index 8c61cb9683e7..5c560c29b10a 100644
--- a/library/psa_crypto.c
+++ b/library/psa_crypto.c
@@ -423,62 +423,89 @@ mbedtls_ecp_group_id mbedtls_ecc_group_of_psa( psa_ecc_family_t curve,
         case PSA_ECC_FAMILY_SECP_R1:
             switch( bits )
             {
+#if defined(PSA_WANT_ECC_SECP_R1_192)
                 case 192:
                     return( MBEDTLS_ECP_DP_SECP192R1 );
+#endif
+#if defined(PSA_WANT_ECC_SECP_R1_224)
                 case 224:
                     return( MBEDTLS_ECP_DP_SECP224R1 );
+#endif
+#if defined(PSA_WANT_ECC_SECP_R1_256)
                 case 256:
                     return( MBEDTLS_ECP_DP_SECP256R1 );
+#endif
+#if defined(PSA_WANT_ECC_SECP_R1_384)
                 case 384:
                     return( MBEDTLS_ECP_DP_SECP384R1 );
+#endif
+#if defined(PSA_WANT_ECC_SECP_R1_521)
                 case 521:
                     return( MBEDTLS_ECP_DP_SECP521R1 );
                 case 528:
                     if( bits_is_sloppy )
                         return( MBEDTLS_ECP_DP_SECP521R1 );
                     break;
+#endif
             }
             break;
 
         case PSA_ECC_FAMILY_BRAINPOOL_P_R1:
             switch( bits )
             {
+#if defined(PSA_WANT_ECC_BRAINPOOL_P_R1_256)
                 case 256:
                     return( MBEDTLS_ECP_DP_BP256R1 );
+#endif
+#if defined(PSA_WANT_ECC_BRAINPOOL_P_R1_384)
                 case 384:
                     return( MBEDTLS_ECP_DP_BP384R1 );
+#endif
+#if defined(PSA_WANT_ECC_BRAINPOOL_P_R1_512)
                 case 512:
                     return( MBEDTLS_ECP_DP_BP512R1 );
+#endif
             }
             break;
 
         case PSA_ECC_FAMILY_MONTGOMERY:
             switch( bits )
             {
+#if defined(PSA_WANT_ECC_MONTGOMERY_255)
                 case 255:
                     return( MBEDTLS_ECP_DP_CURVE25519 );
                 case 256:
                     if( bits_is_sloppy )
                         return( MBEDTLS_ECP_DP_CURVE25519 );
                     break;
+#endif
+#if defined(PSA_WANT_ECC_MONTGOMERY_448)
                 case 448:
                     return( MBEDTLS_ECP_DP_CURVE448 );
+#endif
             }
             break;
 
         case PSA_ECC_FAMILY_SECP_K1:
             switch( bits )
             {
+#if defined(PSA_WANT_ECC_SECP_K1_192)
                 case 192:
                     return( MBEDTLS_ECP_DP_SECP192K1 );
+#endif
+#if defined(PSA_WANT_ECC_SECP_K1_224)
                 case 224:
                     return( MBEDTLS_ECP_DP_SECP224K1 );
+#endif
+#if defined(PSA_WANT_ECC_SECP_K1_256)
                 case 256:
                     return( MBEDTLS_ECP_DP_SECP256K1 );
+#endif
             }
             break;
     }
 
+    (void) bits_is_sloppy;
     return( MBEDTLS_ECP_DP_NONE );
 }
 #endif /* defined(MBEDTLS_PSA_BUILTIN_KEY_TYPE_ECC_KEY_PAIR) ||
diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index abd4936605d1..6c54900cec9a 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -1306,8 +1306,13 @@ requires_config_enabled MBEDTLS_ECP_DP_BP256R1_ENABLED
 run_test_psa_force_curve "brainpoolP256r1"
 requires_config_enabled MBEDTLS_ECP_DP_SECP224R1_ENABLED
 run_test_psa_force_curve "secp224r1"
-requires_config_enabled MBEDTLS_ECP_DP_SECP224K1_ENABLED
-run_test_psa_force_curve "secp224k1"
+## SECP224K1 is buggy via the PSA API
+## (https://github.com/ARMmbed/mbedtls/issues/3541),
+## so it is disabled in PSA even when it's enabled in Mbed TLS.
+## The proper dependency would be on PSA_WANT_ECC_SECP_K1_224 but
+## dependencies on PSA symbols in ssl-opt.sh are not implemented yet.
+#requires_config_enabled MBEDTLS_ECP_DP_SECP224K1_ENABLED
+#run_test_psa_force_curve "secp224k1"
 requires_config_enabled MBEDTLS_ECP_DP_SECP192R1_ENABLED
 run_test_psa_force_curve "secp192r1"
 requires_config_enabled MBEDTLS_ECP_DP_SECP192K1_ENABLED