diff --git a/core/modules/media/tests/src/Functional/MediaInstallTest.php b/core/modules/media/tests/src/Functional/MediaInstallTest.php
new file mode 100644
index 0000000000..1d7fcbb791
--- /dev/null
+++ b/core/modules/media/tests/src/Functional/MediaInstallTest.php
@@ -0,0 +1,43 @@
+<?php
+
+namespace Drupal\Tests\media\Functional;
+
+use Drupal\Tests\BrowserTestBase;
+
+/**
+ * Tests media Install / Uninstall logic.
+ *
+ * @group media
+ */
+class MediaInstallTest extends BrowserTestBase {
+
+  /**
+   * {@inheritdoc}
+   */
+  public static $modules = ['media'];
+
+  /**
+   * {@inheritdoc}
+   */
+  protected function setUp() {
+    parent::setUp();
+    $this->drupalLogin($this->drupalCreateUser(['administer modules']));
+  }
+
+  /**
+   * Tests reinstalling after being uninstalled.
+   */
+  public function testReinstallAfterUninstall() {
+    $page = $this->getSession()->getPage();
+    $this->container->get('module_installer')->uninstall(['media'], FALSE);
+    $this->drupalGet('/admin/modules');
+    $page->checkField('modules[media][enable]');
+    $page->pressButton('Install');
+    // @todo Remove this if-statement in https://www.drupal.org/node/2895059
+    if ($page->find('css', 'h1')->getText() == 'Are you sure you wish to enable experimental modules?') {
+      $page->pressButton('Continue');
+    }
+    $this->assertSession()->pageTextNotContains('could not be moved/copied because a file by that name already exists in the destination directory');
+  }
+
+}