diff --git a/core/modules/comment/tests/src/Functional/CommentAnonymousTest.php b/core/modules/comment/tests/src/Functional/CommentAnonymousTest.php
index bd0453796fbe..31a11f83be37 100644
--- a/core/modules/comment/tests/src/Functional/CommentAnonymousTest.php
+++ b/core/modules/comment/tests/src/Functional/CommentAnonymousTest.php
@@ -169,7 +169,7 @@ class CommentAnonymousTest extends CommentTestBase {
     // NOTE: if authenticated user has permission to post comments, then a
     // "Login or register to post comments" type link may be shown.
     $this->drupalGet('node/' . $this->node->id());
-    $this->assertNoPattern('@<h2[^>]*>Comments</h2>@', 'Comments were not displayed.');
+    $this->assertSession()->responseNotMatches('@<h2[^>]*>Comments</h2>@', 'Comments were not displayed.');
     $this->assertNoLink('Add new comment', 'Link to add comment was found.');
 
     // Attempt to view node-comment form while disallowed.
@@ -192,7 +192,7 @@ class CommentAnonymousTest extends CommentTestBase {
       'skip comment approval' => TRUE,
     ]);
     $this->drupalGet('node/' . $this->node->id());
-    $this->assertNoPattern('@<h2[^>]*>Comments</h2>@', 'Comments were not displayed.');
+    $this->assertSession()->responseNotMatches('@<h2[^>]*>Comments</h2>@', 'Comments were not displayed.');
     $this->assertFieldByName('subject[0][value]', '', 'Subject field found.');
     $this->assertFieldByName('comment_body[0][value]', '', 'Comment field found.');
 
diff --git a/core/modules/comment/tests/src/Functional/CommentInterfaceTest.php b/core/modules/comment/tests/src/Functional/CommentInterfaceTest.php
index a2c0d4a55e59..4a603ca9eca2 100644
--- a/core/modules/comment/tests/src/Functional/CommentInterfaceTest.php
+++ b/core/modules/comment/tests/src/Functional/CommentInterfaceTest.php
@@ -26,7 +26,7 @@ class CommentInterfaceTest extends CommentTestBase {
     // Make sure that comment field title is not displayed when there's no
     // comments posted.
     $this->drupalGet($this->node->urlInfo());
-    $this->assertNoPattern('@<h2[^>]*>Comments</h2>@', 'Comments title is not displayed.');
+    $this->assertSession()->responseNotMatches('@<h2[^>]*>Comments</h2>@', 'Comments title is not displayed.');
 
     // Set comments to have subject and preview disabled.
     $this->setCommentPreview(DRUPAL_DISABLED);
diff --git a/core/modules/comment/tests/src/Functional/CommentNonNodeTest.php b/core/modules/comment/tests/src/Functional/CommentNonNodeTest.php
index 27c096444acc..378fb9574b4a 100644
--- a/core/modules/comment/tests/src/Functional/CommentNonNodeTest.php
+++ b/core/modules/comment/tests/src/Functional/CommentNonNodeTest.php
@@ -341,7 +341,7 @@ class CommentNonNodeTest extends BrowserTestBase {
 
     // Attempt to view comments while disallowed.
     $this->drupalGet('entity-test/' . $this->entity->id());
-    $this->assertNoPattern('@<h2[^>]*>Comments</h2>@', 'Comments were not displayed.');
+    $this->assertSession()->responseNotMatches('@<h2[^>]*>Comments</h2>@', 'Comments were not displayed.');
     $this->assertNoLink('Add new comment', 'Link to add comment was found.');
 
     // Attempt to view test entity comment form while disallowed.
@@ -373,7 +373,7 @@ class CommentNonNodeTest extends BrowserTestBase {
       'view test entity' => TRUE,
     ]);
     $this->drupalGet('entity_test/' . $this->entity->id());
-    $this->assertNoPattern('@<h2[^>]*>Comments</h2>@', 'Comments were not displayed.');
+    $this->assertSession()->responseNotMatches('@<h2[^>]*>Comments</h2>@', 'Comments were not displayed.');
     $this->assertFieldByName('subject[0][value]', '', 'Subject field found.');
     $this->assertFieldByName('comment_body[0][value]', '', 'Comment field found.');
 
diff --git a/core/modules/comment/tests/src/Functional/CommentTitleTest.php b/core/modules/comment/tests/src/Functional/CommentTitleTest.php
index 9cd7946895bf..d3c563aba2fb 100644
--- a/core/modules/comment/tests/src/Functional/CommentTitleTest.php
+++ b/core/modules/comment/tests/src/Functional/CommentTitleTest.php
@@ -42,7 +42,7 @@ class CommentTitleTest extends CommentTestBase {
     $regex .= '/s';
     $this->assertPattern($regex, 'Comment is created successfully');
     // Tests that markup is not generated for the comment without header.
-    $this->assertNoPattern('|<h3[^>]*></h3>|', 'Comment title H3 element not found when title is an empty string.');
+    $this->assertSession()->responseNotMatches('|<h3[^>]*></h3>|', 'Comment title H3 element not found when title is an empty string.');
   }
 
   /**
diff --git a/core/modules/image/tests/src/Functional/ImageFieldDisplayTest.php b/core/modules/image/tests/src/Functional/ImageFieldDisplayTest.php
index ce924f426aab..99aa00d04b03 100644
--- a/core/modules/image/tests/src/Functional/ImageFieldDisplayTest.php
+++ b/core/modules/image/tests/src/Functional/ImageFieldDisplayTest.php
@@ -358,7 +358,7 @@ class ImageFieldDisplayTest extends ImageFieldTestBase {
     $this->drupalGet('node/' . $node->id());
     // Verify that no image is displayed on the page by checking for the class
     // that would be used on the image field.
-    $this->assertNoPattern('<div class="(.*?)field--name-' . strtr($field_name, '_', '-') . '(.*?)">', 'No image displayed when no image is attached and no default image specified.');
+    $this->assertSession()->responseNotMatches('<div class="(.*?)field--name-' . strtr($field_name, '_', '-') . '(.*?)">', 'No image displayed when no image is attached and no default image specified.');
     $cache_tags_header = $this->drupalGetHeader('X-Drupal-Cache-Tags');
     $this->assertTrue(!preg_match('/ image_style\:/', $cache_tags_header), 'No image style cache tag found.');
 
diff --git a/core/modules/page_cache/tests/src/Functional/PageCacheTest.php b/core/modules/page_cache/tests/src/Functional/PageCacheTest.php
index 3e90d8eb2c08..0f8f14e2d01c 100644
--- a/core/modules/page_cache/tests/src/Functional/PageCacheTest.php
+++ b/core/modules/page_cache/tests/src/Functional/PageCacheTest.php
@@ -189,7 +189,7 @@ class PageCacheTest extends BrowserTestBase {
     // Fill the cache.
     $this->drupalGet('');
     // Verify the page is not printed twice when the cache is cold.
-    $this->assertNoPattern('#<html.*<html#');
+    $this->assertSession()->responseNotMatches('#<html.*<html#');
 
     $this->drupalGet('');
     $this->assertEqual($this->drupalGetHeader('X-Drupal-Cache'), 'HIT', 'Page was cached.');
@@ -213,7 +213,7 @@ class PageCacheTest extends BrowserTestBase {
 
     $this->drupalGet('', [], ['If-Modified-Since' => $last_modified, 'If-None-Match' => NULL]);
     // Verify the page is not printed twice when the cache is warm.
-    $this->assertNoPattern('#<html.*<html#');
+    $this->assertSession()->responseNotMatches('#<html.*<html#');
     $this->assertResponse(200, 'Conditional request without If-None-Match returned 200 OK.');
     $this->assertEqual($this->drupalGetHeader('X-Drupal-Cache'), 'HIT', 'Page was cached.');
 
diff --git a/core/modules/statistics/tests/src/Functional/StatisticsLoggingTest.php b/core/modules/statistics/tests/src/Functional/StatisticsLoggingTest.php
index ea87a7cd4466..7c4a9fe8971b 100644
--- a/core/modules/statistics/tests/src/Functional/StatisticsLoggingTest.php
+++ b/core/modules/statistics/tests/src/Functional/StatisticsLoggingTest.php
@@ -99,13 +99,13 @@ class StatisticsLoggingTest extends BrowserTestBase {
     // Verify that logging scripts are not found on a non-node page.
     $this->drupalGet('node');
     $settings = $this->getDrupalSettings();
-    $this->assertNoPattern($expected_library, 'Statistics library JS not found on node page.');
+    $this->assertSession()->responseNotMatches($expected_library, 'Statistics library JS not found on node page.');
     $this->assertFalse(isset($settings['statistics']), 'Statistics settings not found on node page.');
 
     // Verify that logging scripts are not found on a non-existent node page.
     $this->drupalGet('node/9999');
     $settings = $this->getDrupalSettings();
-    $this->assertNoPattern($expected_library, 'Statistics library JS not found on non-existent node page.');
+    $this->assertSession()->responseNotMatches($expected_library, 'Statistics library JS not found on non-existent node page.');
     $this->assertFalse(isset($settings['statistics']), 'Statistics settings not found on node page.');
 
     // Verify that logging scripts are found on a valid node page.
diff --git a/core/modules/system/tests/src/Functional/Common/NoJavaScriptAnonymousTest.php b/core/modules/system/tests/src/Functional/Common/NoJavaScriptAnonymousTest.php
index 2be4d79ad541..49c2edc81943 100644
--- a/core/modules/system/tests/src/Functional/Common/NoJavaScriptAnonymousTest.php
+++ b/core/modules/system/tests/src/Functional/Common/NoJavaScriptAnonymousTest.php
@@ -61,7 +61,7 @@ class NoJavaScriptAnonymousTest extends BrowserTestBase {
 
     // Ensure no other JavaScript file exists on the page, while ignoring the
     // HTML5 shiv.
-    $this->assertNoPattern('/(?<!html5shiv\.min)\.js/', "No other JavaScript exists.");
+    $this->assertSession()->responseNotMatches('/(?<!html5shiv\.min)\.js/');
   }
 
 }
diff --git a/core/modules/taxonomy/tests/src/Functional/TaxonomyTermPagerTest.php b/core/modules/taxonomy/tests/src/Functional/TaxonomyTermPagerTest.php
index 66782f3e7ab9..6244c68b55df 100644
--- a/core/modules/taxonomy/tests/src/Functional/TaxonomyTermPagerTest.php
+++ b/core/modules/taxonomy/tests/src/Functional/TaxonomyTermPagerTest.php
@@ -48,7 +48,7 @@ class TaxonomyTermPagerTest extends TaxonomyTestBase {
 
     // Get Page 1.
     $this->drupalGet('admin/structure/taxonomy/manage/' . $this->vocabulary->id() . '/overview');
-    $this->assertNoPattern('|<nav class="pager" [^>]*>|', 'Pager is not visible on page 1');
+    $this->assertSession()->responseNotMatches('|<nav class="pager" [^>]*>|', 'Pager is not visible on page 1');
 
     // Create 3 more terms to show pager.
     for ($x = 1; $x <= 3; $x++) {
diff --git a/core/tests/Drupal/Tests/Core/Assert/AssertLegacyTraitTest.php b/core/tests/Drupal/Tests/Core/Assert/AssertLegacyTraitTest.php
index bb39c6d8229c..4b8bf94a95d7 100644
--- a/core/tests/Drupal/Tests/Core/Assert/AssertLegacyTraitTest.php
+++ b/core/tests/Drupal/Tests/Core/Assert/AssertLegacyTraitTest.php
@@ -156,6 +156,7 @@ class AssertLegacyTraitTest extends UnitTestCase {
 
   /**
    * @covers ::assertNoPattern
+   * @expectedDeprecation 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.
    */
   public function testAssertNoPattern() {
     $this->webAssert
diff --git a/core/tests/Drupal/Tests/Listeners/DeprecationListenerTrait.php b/core/tests/Drupal/Tests/Listeners/DeprecationListenerTrait.php
index ac016751be8a..988344a87cd5 100644
--- a/core/tests/Drupal/Tests/Listeners/DeprecationListenerTrait.php
+++ b/core/tests/Drupal/Tests/Listeners/DeprecationListenerTrait.php
@@ -110,7 +110,6 @@ trait DeprecationListenerTrait {
       'Drupal\system\Tests\Update\DbUpdatesTrait is deprecated in Drupal 8.4.0 and will be removed before Drupal 9.0.0. Use \Drupal\FunctionalTests\Update\DbUpdatesTrait instead. See https://www.drupal.org/node/2896640.',
       '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::getAllOptions() is scheduled for removal in Drupal 9.0.0. Use $element->findAll(\'xpath\', \'option\') instead.',
-      '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.',
       'Using UTF-8 route patterns without setting the "utf8" option is deprecated since Symfony 3.2 and will throw a LogicException in 4.0. Turn on the "utf8" route option for pattern "/system-test/Ȅchȏ/meφΩ/{text}".',
       'Using UTF-8 route patterns without setting the "utf8" option is deprecated since Symfony 3.2 and will throw a LogicException in 4.0. Turn on the "utf8" route option for pattern "/somewhere/{item}/over/the/קainbow".',
       'Using UTF-8 route patterns without setting the "utf8" option is deprecated since Symfony 3.2 and will throw a LogicException in 4.0. Turn on the "utf8" route option for pattern "/place/meφω".',