diff --git a/tests/phpunit/tests/ajax/PrivacyErasePersonalData.php b/tests/phpunit/tests/ajax/PrivacyErasePersonalData.php
index 1d14fa10f9..007b92e53d 100644
--- a/tests/phpunit/tests/ajax/PrivacyErasePersonalData.php
+++ b/tests/phpunit/tests/ajax/PrivacyErasePersonalData.php
@@ -312,15 +312,11 @@ class Tests_Ajax_PrivacyErasePersonalData extends WP_Ajax_UnitTestCase {
 	/**
 	 * Test requests do not succeed on multisite when the current user is not a network admin.
 	 *
-	 * @group multisite
-	 *
 	 * @ticket 43438
+	 * @group multisite
+	 * @group ms-required
 	 */
 	public function test_error_when_current_user_missing_required_capabilities_multisite() {
-		if ( ! is_multisite() ) {
-			$this->markTestSkipped( 'This test only runs on multisite.' );
-		}
-
 		revoke_super_admin( get_current_user_id() );
 
 		$this->_make_ajax_call();
diff --git a/tests/phpunit/tests/ajax/PrivacyExportPersonalData.php b/tests/phpunit/tests/ajax/PrivacyExportPersonalData.php
index 739b631009..33a139d569 100644
--- a/tests/phpunit/tests/ajax/PrivacyExportPersonalData.php
+++ b/tests/phpunit/tests/ajax/PrivacyExportPersonalData.php
@@ -273,15 +273,11 @@ class Tests_Ajax_PrivacyExportPersonalData extends WP_Ajax_UnitTestCase {
 	/**
 	 * Test requests do not succeed on multisite when the current user is not a network admin.
 	 *
-	 * @group multisite
-	 *
 	 * @ticket 43438
+	 * @group multisite
+	 * @group ms-required
 	 */
 	public function test_error_when_current_user_missing_required_capability_multisite() {
-		if ( ! is_multisite() ) {
-			$this->markTestSkipped( 'This test only runs on multisite.' );
-		}
-
 		revoke_super_admin( get_current_user_id() );
 
 		$this->_make_ajax_call();