diff --git a/tests/suites/test_suite_psa_crypto.function b/tests/suites/test_suite_psa_crypto.function
index ef35d578f..786789287 100644
--- a/tests/suites/test_suite_psa_crypto.function
+++ b/tests/suites/test_suite_psa_crypto.function
@@ -4061,6 +4061,7 @@ void aead_encrypt( int key_type_arg, data_t *key_data,
     size_t output_length = 0;
     size_t tag_length = PSA_AEAD_TAG_LENGTH( alg );
     psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
+    psa_status_t status = PSA_ERROR_GENERIC_ERROR;
 
     output_size = input_data->len + tag_length;
     /* For all currently defined algorithms, PSA_AEAD_ENCRYPT_OUTPUT_SIZE
@@ -4078,13 +4079,26 @@ void aead_encrypt( int key_type_arg, data_t *key_data,
     PSA_ASSERT( psa_import_key( &attributes, key_data->x, key_data->len,
                                 &key ) );
 
-    PSA_ASSERT( psa_aead_encrypt( key, alg,
-                                  nonce->x, nonce->len,
-                                  additional_data->x, additional_data->len,
-                                  input_data->x, input_data->len,
-                                  output_data, output_size,
-                                  &output_length ) );
+    status = psa_aead_encrypt( key, alg,
+                               nonce->x, nonce->len,
+                               additional_data->x, additional_data->len,
+                               input_data->x, input_data->len,
+                               output_data, output_size,
+                               &output_length );
 
+#if defined(MBEDTLS_AES_ALT) || \
+    defined(MBEDTLS_AES_SETKEY_ENC_ALT) || \
+    defined(MBEDTLS_PSA_ACCEL_KEY_TYPE_AES)
+    if( status == PSA_ERROR_NOT_SUPPORTED &&
+        key_type == PSA_KEY_TYPE_AES &&
+        key_data->len == 24 )
+    {
+        test_skip( "AES-192 not supported", __LINE__, __FILE__ );
+        goto exit;
+    }
+#endif /* AES could be alternatively implemented */
+
+    PSA_ASSERT( status );
     ASSERT_COMPARE( expected_result->x, expected_result->len,
                     output_data, output_length );
 
@@ -4113,6 +4127,7 @@ void aead_decrypt( int key_type_arg, data_t *key_data,
     size_t tag_length = PSA_AEAD_TAG_LENGTH( alg );
     psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
     psa_status_t expected_result = expected_result_arg;
+    psa_status_t status = PSA_ERROR_GENERIC_ERROR;
 
     output_size = input_data->len - tag_length;
     /* For all currently defined algorithms, PSA_AEAD_DECRYPT_OUTPUT_SIZE
@@ -4131,14 +4146,27 @@ void aead_decrypt( int key_type_arg, data_t *key_data,
     PSA_ASSERT( psa_import_key( &attributes, key_data->x, key_data->len,
                                 &key ) );
 
-    TEST_EQUAL( psa_aead_decrypt( key, alg,
-                                  nonce->x, nonce->len,
-                                  additional_data->x,
-                                  additional_data->len,
-                                  input_data->x, input_data->len,
-                                  output_data, output_size,
-                                  &output_length ),
-                expected_result );
+    status = psa_aead_decrypt( key, alg,
+                               nonce->x, nonce->len,
+                               additional_data->x,
+                               additional_data->len,
+                               input_data->x, input_data->len,
+                               output_data, output_size,
+                               &output_length );
+
+#if defined(MBEDTLS_AES_ALT) || \
+    defined(MBEDTLS_AES_SETKEY_ENC_ALT) || \
+    defined(MBEDTLS_PSA_ACCEL_KEY_TYPE_AES)
+    if( status == PSA_ERROR_NOT_SUPPORTED &&
+        key_type == PSA_KEY_TYPE_AES &&
+        key_data->len == 24 )
+    {
+        test_skip( "AES-192 not supported", __LINE__, __FILE__ );
+        goto exit;
+    }
+#endif /* AES could be alternatively implemented */
+
+    TEST_EQUAL( status, expected_result );
 
     if( expected_result == PSA_SUCCESS )
         ASSERT_COMPARE( expected_data->x, expected_data->len,