diff --git a/core/lib/Drupal/Core/Render/MetadataBubblingUrlGenerator.php b/core/lib/Drupal/Core/Render/MetadataBubblingUrlGenerator.php
index 6a5527bdeb..70dd105742 100644
--- a/core/lib/Drupal/Core/Render/MetadataBubblingUrlGenerator.php
+++ b/core/lib/Drupal/Core/Render/MetadataBubblingUrlGenerator.php
@@ -113,6 +113,7 @@ public function generateFromRoute($name, $parameters = [], $options = [], $colle
    * {@inheritdoc}
    */
   public function supports($name) {
+    @trigger_error(__METHOD__ . '() is deprecated in drupal:9.1.0 and is removed from drupal:10.0.0. Only string route names are supported. See https://www.drupal.org/node/3172303', E_USER_DEPRECATED);
     return $this->urlGenerator->supports($name);
   }
 
@@ -120,6 +121,7 @@ public function supports($name) {
    * {@inheritdoc}
    */
   public function getRouteDebugMessage($name, array $parameters = []) {
+    @trigger_error(__METHOD__ . '() is deprecated in drupal:9.1.0 and is removed from drupal:10.0.0. Use the route name instead. See https://www.drupal.org/node/3172303', E_USER_DEPRECATED);
     return $this->urlGenerator->getRouteDebugMessage($name, $parameters);
   }
 
diff --git a/core/lib/Drupal/Core/Routing/UrlGenerator.php b/core/lib/Drupal/Core/Routing/UrlGenerator.php
index 255f144028..443a6e6fdc 100644
--- a/core/lib/Drupal/Core/Routing/UrlGenerator.php
+++ b/core/lib/Drupal/Core/Routing/UrlGenerator.php
@@ -432,6 +432,9 @@ protected function getRoute($name) {
   /**
    * Gets either the route name or a string based on the route object.
    *
+   * @param mixed $name
+   *   A string route name, or a serializable object.
+   *
    * @return string
    *   Either the route name, or a string that uniquely identifies the route.
    *
@@ -453,7 +456,7 @@ private function getRouteStringIdentifier($name, array $parameters = []) {
    * {@inheritdoc}
    */
   public function supports($name) {
-    @trigger_error(__METHOD__ . ' is deprecated in drupal:9.1.0 and is removed in drupal:10.0.0. Only string route names are supported.', E_USER_DEPRECATED);
+    @trigger_error(__METHOD__ . '() is deprecated in drupal:9.1.0 and is removed from drupal:10.0.0. Only string route names are supported. See https://www.drupal.org/node/3172303', E_USER_DEPRECATED);
     // Support a route object and any string as route name.
     return is_string($name) || $name instanceof SymfonyRoute;
   }
@@ -462,16 +465,8 @@ public function supports($name) {
    * {@inheritdoc}
    */
   public function getRouteDebugMessage($name, array $parameters = []) {
-    @trigger_error(__METHOD__ . ' is deprecated in drupal:9.1.0 and is removed in drupal:10.0.0. Use the route name instead.', E_USER_DEPRECATED);
-    if (is_scalar($name)) {
-      return $name;
-    }
-
-    if ($name instanceof SymfonyRoute) {
-      return 'Route with pattern ' . $name->getPath();
-    }
-
-    return serialize($name);
+    @trigger_error(__METHOD__ . '() is deprecated in drupal:9.1.0 and is removed from drupal:10.0.0. Use the route name instead. See https://www.drupal.org/node/3172303', E_USER_DEPRECATED);
+    return $this->getRouteStringIdentifier($name, $parameters);
   }
 
 }
diff --git a/core/modules/help/tests/modules/help_test/src/SupernovaGenerator.php b/core/modules/help/tests/modules/help_test/src/SupernovaGenerator.php
index 9cdaa41858..b5f99c7329 100644
--- a/core/modules/help/tests/modules/help_test/src/SupernovaGenerator.php
+++ b/core/modules/help/tests/modules/help_test/src/SupernovaGenerator.php
@@ -49,6 +49,7 @@ public function generateFromRoute($name, $parameters = [], $options = [], $colle
    * {@inheritdoc}
    */
   public function supports($name) {
+    @trigger_error(__METHOD__ . '() is deprecated in drupal:9.1.0 and is removed from drupal:10.0.0. Only string route names are supported. See https://www.drupal.org/node/3172303', E_USER_DEPRECATED);
     throw new \Exception();
   }
 
@@ -56,6 +57,7 @@ public function supports($name) {
    * {@inheritdoc}
    */
   public function getRouteDebugMessage($name, array $parameters = []) {
+    @trigger_error(__METHOD__ . '() is deprecated in drupal:9.1.0 and is removed from drupal:10.0.0. Use the route name instead. See https://www.drupal.org/node/3172303', E_USER_DEPRECATED);
     throw new \Exception();
   }
 
diff --git a/core/tests/Drupal/Tests/Core/Routing/UrlGeneratorTest.php b/core/tests/Drupal/Tests/Core/Routing/UrlGeneratorTest.php
index 8f4a9ba339..744fbbc455 100644
--- a/core/tests/Drupal/Tests/Core/Routing/UrlGeneratorTest.php
+++ b/core/tests/Drupal/Tests/Core/Routing/UrlGeneratorTest.php
@@ -455,8 +455,8 @@ public function testBaseURLGeneration() {
    * Tests deprecated methods.
    *
    * @group legacy
-   * @expectedDeprecation Drupal\Core\Routing\UrlGenerator::getRouteDebugMessage is deprecated in drupal:9.1.0 and is removed in drupal:10.0.0. Use the route name instead.
-   * @expectedDeprecation Drupal\Core\Routing\UrlGenerator::supports is deprecated in drupal:9.1.0 and is removed in drupal:10.0.0. Only string route names are supported.
+   * @expectedDeprecation Drupal\Core\Routing\UrlGenerator::getRouteDebugMessage() is deprecated in drupal:9.1.0 and is removed from drupal:10.0.0. Use the route name instead. See https://www.drupal.org/node/3172303
+   * @expectedDeprecation Drupal\Core\Routing\UrlGenerator::supports() is deprecated in drupal:9.1.0 and is removed from drupal:10.0.0. Only string route names are supported. See https://www.drupal.org/node/3172303
    */
   public function testDeprecatedMethods() {
     $this->generator->getRouteDebugMessage('test');