diff --git a/core/tests/Drupal/Tests/Setup/Commands/SetupDrupalTestScript.php b/core/tests/Drupal/KernelTests/Setup/Commands/SetupDrupalTestScript.php
similarity index 84%
rename from core/tests/Drupal/Tests/Setup/Commands/SetupDrupalTestScript.php
rename to core/tests/Drupal/KernelTests/Setup/Commands/SetupDrupalTestScript.php
index 7162e20623..e7b26d784f 100644
--- a/core/tests/Drupal/Tests/Setup/Commands/SetupDrupalTestScript.php
+++ b/core/tests/Drupal/KernelTests/Setup/Commands/SetupDrupalTestScript.php
@@ -1,6 +1,6 @@
 <?php
 
-namespace Drupal\Tests;
+namespace Drupal\KernelTests\Core\Test\Setup\Commands;
 
 use Drupal\Setup\TestSetupInterface;
 
diff --git a/core/tests/Drupal/Tests/Setup/Commands/SetupDrupalTestScriptTest.php b/core/tests/Drupal/KernelTests/Setup/Commands/SetupDrupalTestScriptTest.php
similarity index 58%
rename from core/tests/Drupal/Tests/Setup/Commands/SetupDrupalTestScriptTest.php
rename to core/tests/Drupal/KernelTests/Setup/Commands/SetupDrupalTestScriptTest.php
index 96e554c2d1..668439cf17 100644
--- a/core/tests/Drupal/Tests/Setup/Commands/SetupDrupalTestScriptTest.php
+++ b/core/tests/Drupal/KernelTests/Setup/Commands/SetupDrupalTestScriptTest.php
@@ -1,10 +1,10 @@
 <?php
 
-namespace Drupal\Tests;
+namespace Drupal\KernelTests\Setup\Commands;
 
+use Drupal\KernelTests\KernelTestBase;
 use Drupal\Setup\Commands\TestInstallationSetupApplication;
 use Symfony\Component\Console\Tester\ApplicationTester;
-use PHPUnit\Framework\TestCase;
 
 /**
  * Tests setup-drupal-test.php.
@@ -12,20 +12,21 @@
  * @group Commands
  * @group core
  *
- * @runTestsInSeparateProcesses
+ * @todo Move this to the \Drupal\KernelTests\Setup\Commands\ namespace after
+ *   https://www.drupal.org/project/drupal/issues/2878269
  */
-class SetupDrupalTestScriptTest extends TestCase {
+class SetupDrupalTestScriptTest extends KernelTestBase {
 
   /**
    * @coversNothing
    */
   public function testInstallScript() {
-    $autoloader = dirname(dirname(dirname(dirname(__DIR__)))) . '/autoload.php';
+    $autoloader = dirname(dirname(dirname(__DIR__))) . '/bootstrap.php';
     $app = new TestInstallationSetupApplication($autoloader);
     $app->setAutoExit(FALSE);
 
     $app_tester = new ApplicationTester($app);
-    $output = $app_tester->run(
+    $app_tester->run(
       ['command' => 'setup-drupal-test'],
       [
         'interactive' => FALSE,
@@ -33,9 +34,10 @@ public function testInstallScript() {
       ]
     );
 
-    $this->assertEquals(0, $output);
+    $this->assertNotRegExp('/PHPUnit_Framework_Error_Warning/', $app_tester->getDisplay());
     $this->assertNotRegExp('/AlreadyInstalledException/', $app_tester->getDisplay());
     $this->assertRegExp('/simpletest/', $app_tester->getDisplay());
+    $this->assertEqual(0, $app_tester->getStatusCode());
   }
 
 }
diff --git a/core/tests/bootstrap.php b/core/tests/bootstrap.php
index 77b270fe23..644d6abfb1 100644
--- a/core/tests/bootstrap.php
+++ b/core/tests/bootstrap.php
@@ -148,7 +148,7 @@ function drupal_phpunit_populate_class_loader() {
 };
 
 // Do class loader population.
-drupal_phpunit_populate_class_loader();
+$this_is_the_drupal_test_bootstrap_autoloader_so_do_not_be_confused = drupal_phpunit_populate_class_loader();
 
 // Set sane locale settings, to ensure consistent string, dates, times and
 // numbers handling.
@@ -167,3 +167,5 @@ function drupal_phpunit_populate_class_loader() {
 // make PHP 5 and 7 handle assertion failures the same way, but this call does
 // not turn runtime assertions on if they weren't on already.
 Handle::register();
+
+return $this_is_the_drupal_test_bootstrap_autoloader_so_do_not_be_confused;