diff --git a/core/modules/big_pipe/tests/src/Functional/BigPipeTest.php b/core/modules/big_pipe/tests/src/Functional/BigPipeTest.php
index 92d1a86..cf2df4a 100644
--- a/core/modules/big_pipe/tests/src/Functional/BigPipeTest.php
+++ b/core/modules/big_pipe/tests/src/Functional/BigPipeTest.php
@@ -156,7 +156,7 @@ public function testBigPipe() {
 
     $this->drupalGet(Url::fromRoute('big_pipe_test'));
     $this->assertBigPipeResponseHeadersPresent();
-    $this->assertNoCacheTag('cache_tag_set_in_lazy_builder');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'cache_tag_set_in_lazy_builder');
 
     $this->setCsrfTokenSeedInTestEnvironment();
     $cases = $this->getTestCases();
@@ -236,7 +236,7 @@ public function testBigPipeNoJs() {
 
     $this->drupalGet(Url::fromRoute('big_pipe_test'));
     $this->assertBigPipeResponseHeadersPresent();
-    $this->assertNoCacheTag('cache_tag_set_in_lazy_builder');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'cache_tag_set_in_lazy_builder');
 
     $this->setCsrfTokenSeedInTestEnvironment();
     $cases = $this->getTestCases();
diff --git a/core/modules/block/tests/src/Functional/BlockInstallTest.php b/core/modules/block/tests/src/Functional/BlockInstallTest.php
index c6fd1eb..eb6c5fc 100644
--- a/core/modules/block/tests/src/Functional/BlockInstallTest.php
+++ b/core/modules/block/tests/src/Functional/BlockInstallTest.php
@@ -15,7 +15,7 @@ public function testCacheTagInvalidationUponInstallation() {
     // Warm the page cache.
     $this->drupalGet('');
     $this->assertNoText('Powered by Drupal');
-    $this->assertNoCacheTag('config:block_list');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'config:block_list');
 
     // Install the block module, and place the "Powered by Drupal" block.
     $this->container->get('module_installer')->install(['block', 'shortcut']);
diff --git a/core/modules/page_cache/tests/src/Functional/PageCacheTest.php b/core/modules/page_cache/tests/src/Functional/PageCacheTest.php
index bf4951d..8b5442c 100644
--- a/core/modules/page_cache/tests/src/Functional/PageCacheTest.php
+++ b/core/modules/page_cache/tests/src/Functional/PageCacheTest.php
@@ -327,20 +327,20 @@ public function testPageCacheAnonymousRolePermissions() {
     $this->drupalGet($content_url);
     $this->assertText('Permission to pet llamas: no!');
     $this->assertCacheContext('user.permissions');
-    $this->assertNoCacheTag('config:user.role.authenticated');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'config:user.role.authenticated');
     $this->drupalGet($route_access_url);
     $this->assertCacheContext('user.permissions');
-    $this->assertNoCacheTag('config:user.role.authenticated');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'config:user.role.authenticated');
 
     // 4. authenticated user, with permission.
     user_role_grant_permissions(RoleInterface::AUTHENTICATED_ID, ['pet llamas']);
     $this->drupalGet($content_url);
     $this->assertText('Permission to pet llamas: yes!');
     $this->assertCacheContext('user.permissions');
-    $this->assertNoCacheTag('config:user.role.authenticated');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'config:user.role.authenticated');
     $this->drupalGet($route_access_url);
     $this->assertCacheContext('user.permissions');
-    $this->assertNoCacheTag('config:user.role.authenticated');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'config:user.role.authenticated');
   }
 
   /**
diff --git a/core/modules/system/tests/src/Functional/Common/EarlyRenderingControllerTest.php b/core/modules/system/tests/src/Functional/Common/EarlyRenderingControllerTest.php
index c3d1bb9..451cef9 100644
--- a/core/modules/system/tests/src/Functional/Common/EarlyRenderingControllerTest.php
+++ b/core/modules/system/tests/src/Functional/Common/EarlyRenderingControllerTest.php
@@ -50,17 +50,17 @@ public function testEarlyRendering() {
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.response'));
     $this->assertResponse(200);
     $this->assertRaw('Hello world!');
-    $this->assertNoCacheTag('foo');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'foo');
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.response.early'));
     $this->assertResponse(200);
     $this->assertRaw('Hello world!');
-    $this->assertNoCacheTag('foo');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'foo');
 
     // Response object with attachments: non-early & early.
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.response-with-attachments'));
     $this->assertResponse(200);
     $this->assertRaw('Hello world!');
-    $this->assertNoCacheTag('foo');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'foo');
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.response-with-attachments.early'));
     $this->assertResponse(500);
     $this->assertRaw('The controller result claims to be providing relevant cache metadata, but leaked metadata was detected. Please ensure you are not rendering content too early. Returned object class: Drupal\early_rendering_controller_test\AttachmentsTestResponse.');
@@ -69,7 +69,7 @@ public function testEarlyRendering() {
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.cacheable-response'));
     $this->assertResponse(200);
     $this->assertRaw('Hello world!');
-    $this->assertNoCacheTag('foo');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'foo');
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.cacheable-response.early'));
     $this->assertResponse(500);
     $this->assertRaw('The controller result claims to be providing relevant cache metadata, but leaked metadata was detected. Please ensure you are not rendering content too early. Returned object class: Drupal\early_rendering_controller_test\CacheableTestResponse.');
@@ -78,17 +78,17 @@ public function testEarlyRendering() {
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.domain-object'));
     $this->assertResponse(200);
     $this->assertRaw('TestDomainObject');
-    $this->assertNoCacheTag('foo');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'foo');
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.domain-object.early'));
     $this->assertResponse(200);
     $this->assertRaw('TestDomainObject');
-    $this->assertNoCacheTag('foo');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'foo');
 
     // Basic domain object with attachments: non-early & early.
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.domain-object-with-attachments'));
     $this->assertResponse(200);
     $this->assertRaw('AttachmentsTestDomainObject');
-    $this->assertNoCacheTag('foo');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'foo');
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.domain-object-with-attachments.early'));
     $this->assertResponse(500);
     $this->assertRaw('The controller result claims to be providing relevant cache metadata, but leaked metadata was detected. Please ensure you are not rendering content too early. Returned object class: Drupal\early_rendering_controller_test\AttachmentsTestDomainObject.');
@@ -97,7 +97,7 @@ public function testEarlyRendering() {
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.cacheable-domain-object'));
     $this->assertResponse(200);
     $this->assertRaw('CacheableTestDomainObject');
-    $this->assertNoCacheTag('foo');
+    $this->assertSession()->responseHeaderNotContains('X-Drupal-Cache-Tags', 'foo');
     $this->drupalGet(Url::fromRoute('early_rendering_controller_test.cacheable-domain-object.early'));
     $this->assertResponse(500);
     $this->assertRaw('The controller result claims to be providing relevant cache metadata, but leaked metadata was detected. Please ensure you are not rendering content too early. Returned object class: Drupal\early_rendering_controller_test\CacheableTestDomainObject.');
diff --git a/core/tests/Drupal/Tests/Core/Assert/AssertLegacyTraitTest.php b/core/tests/Drupal/Tests/Core/Assert/AssertLegacyTraitTest.php
index f6ec313..bb39c6d 100644
--- a/core/tests/Drupal/Tests/Core/Assert/AssertLegacyTraitTest.php
+++ b/core/tests/Drupal/Tests/Core/Assert/AssertLegacyTraitTest.php
@@ -167,6 +167,7 @@ public function testAssertNoPattern() {
 
   /**
    * @covers ::assertNoCacheTag
+   * @expectedDeprecation assertNoCacheTag() is deprecated and scheduled for removal in Drupal 9.0.0. Use $this->assertSession()->responseHeaderNotContains() instead. See https://www.drupal.org/node/2864029.
    */
   public function testAssertNoCacheTag() {
     $this->webAssert
diff --git a/core/tests/Drupal/Tests/Listeners/DeprecationListenerTrait.php b/core/tests/Drupal/Tests/Listeners/DeprecationListenerTrait.php
index 9dfd142..4328482 100644
--- a/core/tests/Drupal/Tests/Listeners/DeprecationListenerTrait.php
+++ b/core/tests/Drupal/Tests/Listeners/DeprecationListenerTrait.php
@@ -121,7 +121,6 @@ public static function getSkippedDeprecations() {
       'Providing settings under \'handler_settings\' is deprecated and will be removed before 9.0.0. Move the settings in the root of the configuration array. See https://www.drupal.org/node/2870971.',
       'AssertLegacyTrait::getRawContent() is scheduled for removal in Drupal 9.0.0. Use $this->getSession()->getPage()->getContent() instead.',
       'AssertLegacyTrait::getAllOptions() is scheduled for removal in Drupal 9.0.0. Use $element->findAll(\'xpath\', \'option\') instead.',
-      'assertNoCacheTag() is deprecated and scheduled for removal in Drupal 9.0.0. Use $this->assertSession()->responseHeaderNotContains() instead. See https://www.drupal.org/node/2864029.',
       'assertNoPattern() is deprecated and scheduled for removal in Drupal 9.0.0. Use $this->assertSession()->responseNotMatches($pattern) instead. See https://www.drupal.org/node/2864262.',
       'The Drupal\config\Tests\AssertConfigEntityImportTrait is deprecated in Drupal 8.4.1 and will be removed before Drupal 9.0.0. Instead, use \Drupal\Tests\config\Traits\AssertConfigEntityImportTrait. See https://www.drupal.org/node/2916197.',
       'Drupal\system\Tests\Menu\AssertBreadcrumbTrait is deprecated in Drupal 8.4.0 and will be removed before Drupal 9.0.0. Instead, use \Drupal\Tests\system\Functional\Menu\AssertBreadcrumbTrait',