diff -u b/core/modules/media_library/tests/modules/media_library_test/media_library_test.info.yml b/core/modules/media_library/tests/modules/media_library_test/media_library_test.info.yml
--- b/core/modules/media_library/tests/modules/media_library_test/media_library_test.info.yml
+++ b/core/modules/media_library/tests/modules/media_library_test/media_library_test.info.yml
@@ -9 +9,3 @@
+  - drupal:menu_ui
   - drupal:node
+  - drupal:path
only in patch2:
unchanged:
--- /dev/null
+++ b/core/modules/media_library/tests/src/FunctionalJavascript/MediaLibraryTest.php
@@ -0,0 +1,80 @@
+<?php
+
+namespace Drupal\Tests\media_library\FunctionalJavascript;
+
+use Drupal\FunctionalJavascriptTests\JavascriptTestBase;
+use Drupal\media\Entity\Media;
+
+/**
+ * Contains Media Library integration tests.
+ *
+ * @group media_library
+ */
+class MediaLibraryTest extends JavascriptTestBase {
+
+  /**
+   * {@inheritdoc}
+   */
+  protected static $modules = ['block', 'media_library_test'];
+
+  /**
+   * {@inheritdoc}
+   */
+  protected function setUp() {
+    parent::setUp();
+
+    // Create a few example media items for use in selection.
+    $media = [
+      'type_one' => [
+        'media_1',
+        'media_2',
+      ],
+      'type_two' => [
+        'media_3',
+        'media_4',
+      ],
+    ];
+
+    foreach ($media as $type => $names) {
+      foreach ($names as $name) {
+        Media::create(['name' => $name, 'bundle' => $type])->save();
+      }
+    }
+
+    // Create a user who can use the Media Library.
+    $user = $this->drupalCreateUser([
+      'access content',
+      'access content overview',
+      'access administration pages',
+      'administer media',
+      'create media_library_test content',
+      'edit own media_library_test content',
+      'delete any media',
+      'delete own media_library_test content',
+      'view media',
+    ]);
+    $this->drupalLogin($user);
+    $this->drupalPlaceBlock('local_tasks_block');
+  }
+
+  /**
+   * Tests that the Media Library's administration page works as expected.
+   */
+  public function testAdministrationPage() {
+    // Visit the administration page.
+    $this->drupalGet('admin/content/media');
+
+    // Verify that media from two separate types is present.
+    $this->assertSession()->pageTextContains('media_1');
+    $this->assertSession()->pageTextContains('media_3');
+
+    // Test the tabs that allow users to filter by type.
+    $this->clickLink('Type One');
+    $this->assertSession()->pageTextContains('media_2');
+    $this->assertSession()->pageTextNotContains('media_4');
+    $this->clickLink('Type Two');
+    $this->assertSession()->pageTextNotContains('media_2');
+    $this->assertSession()->pageTextContains('media_4');
+  }
+
+}