diff --git a/wp-includes/class-wp-service-workers.php b/wp-includes/class-wp-service-workers.php
index b26f891ba..969206a40 100644
--- a/wp-includes/class-wp-service-workers.php
+++ b/wp-includes/class-wp-service-workers.php
@@ -113,6 +113,8 @@ public function serve_request() {
 		 */
 		@header( 'Cache-Control: no-cache' ); // phpcs:ignore Generic.PHP.NoSilencedErrors.Discouraged, WordPress.PHP.NoSilencedErrors.Discouraged
 
+		@header( 'X-Robots-Tag: noindex, follow' ); // phpcs:ignore Generic.PHP.NoSilencedErrors.Discouraged, WordPress.PHP.NoSilencedErrors.Discouraged
+
 		@header( 'Content-Type: text/javascript; charset=utf-8' ); // phpcs:ignore Generic.PHP.NoSilencedErrors.Discouraged, WordPress.PHP.NoSilencedErrors.Discouraged
 
 		if ( ! is_admin() ) {