diff --git a/core/modules/system/src/Tests/System/ThemeTest.php b/core/modules/system/src/Tests/System/ThemeTest.php
index e1b091d..17b5a87 100644
--- a/core/modules/system/src/Tests/System/ThemeTest.php
+++ b/core/modules/system/src/Tests/System/ThemeTest.php
@@ -188,6 +188,10 @@ function testAdministrationTheme() {
     );
     $this->drupalPostForm('admin/appearance', $edit, t('Save configuration'));
 
+    // Check that the classy theme cannot be installed as it is a base theme of bartik.
+    $this->drupalGet('admin/appearance');
+    $this->assertNoRaw('Uninstall Classy theme', 'A link to uninstall the classy theme does not appear on the theme settings page.');
+    
     $this->drupalGet('admin/config');
     $this->assertRaw('core/themes/seven', 'Administration theme used on an administration page.');