diff --git a/crypto/evp/evp.c b/crypto/evp/evp.c
index e982af7..4878e2e 100644
--- a/crypto/evp/evp.c
+++ b/crypto/evp/evp.c
@@ -153,21 +153,24 @@
 }
 
 int EVP_PKEY_copy_parameters(EVP_PKEY *to, const EVP_PKEY *from) {
-  if (to->type != from->type) {
+  if (to->type == EVP_PKEY_NONE) {
+    if (!EVP_PKEY_set_type(to, from->type)) {
+      return 0;
+    }
+  } else if (to->type != from->type) {
     OPENSSL_PUT_ERROR(EVP, EVP_R_DIFFERENT_KEY_TYPES);
-    goto err;
+    return 0;
   }
 
   if (EVP_PKEY_missing_parameters(from)) {
     OPENSSL_PUT_ERROR(EVP, EVP_R_MISSING_PARAMETERS);
-    goto err;
+    return 0;
   }
 
   if (from->ameth && from->ameth->param_copy) {
     return from->ameth->param_copy(to, from);
   }
 
-err:
   return 0;
 }
 
diff --git a/crypto/evp/evp_extra_test.cc b/crypto/evp/evp_extra_test.cc
index e192406..215a6c2 100644
--- a/crypto/evp/evp_extra_test.cc
+++ b/crypto/evp/evp_extra_test.cc
@@ -1132,12 +1132,13 @@
 
     bssl::UniquePtr<EVP_PKEY> from_encoded_point(EVP_PKEY_new());
     ASSERT_TRUE(from_encoded_point);
-    ASSERT_TRUE(EVP_PKEY_set_type(from_encoded_point.get(), test.pkey_type));
     if (test.pkey_type == EVP_PKEY_EC) {
       // |EVP_PKEY_EC| should have been |EVP_PKEY_EC_P256|, etc., but instead
       // part of the type is buried inside parameters.
       ASSERT_TRUE(
           EVP_PKEY_copy_parameters(from_encoded_point.get(), from_spki.get()));
+    } else {
+      ASSERT_TRUE(EVP_PKEY_set_type(from_encoded_point.get(), test.pkey_type));
     }
     ASSERT_TRUE(EVP_PKEY_set1_tls_encodedpoint(from_encoded_point.get(),
                                                test.encoded_point.data(),