diff --git a/tests/phpunit/tests/canonical.php b/tests/phpunit/tests/canonical.php
index 886b09312910e..1980ed0e5c530 100644
--- a/tests/phpunit/tests/canonical.php
+++ b/tests/phpunit/tests/canonical.php
@@ -378,6 +378,7 @@ public function data_redirect_guess_404_permalink_with_custom_statuses() {
 	 *
 	 * @ticket 43056
 	 * @ticket 59795
+	 * @ticket 44964
 	 *
 	 * @dataProvider data_redirect_guess_404_permalink_post_types
 	 */
@@ -413,6 +414,10 @@ public function data_redirect_guess_404_permalink_post_types() {
 				'original_url' => '/?name=private-cpt-po&post_type[]=wp_tests_private',
 				'expected'     => '/?name=private-cpt-po&post_type[]=wp_tests_private',
 			),
+			'do not leak private post type mixed in with a public one' => array(
+				'original_url' => '/?name=private-cpt-po&post_type[]=page&post_type[]=wp_tests_private',
+				'expected'     => '/?name=private-cpt-po&post_type[]=page&post_type[]=wp_tests_private',
+			),
 		);
 	}