diff --git a/wp-test-56970.php b/wp-test-56970.php
index e68f274..cb04b2a 100644
--- a/wp-test-56970.php
+++ b/wp-test-56970.php
@@ -48,3 +48,10 @@ function wp_test_56970_transient_global_styles_stylesheet( $value, $transient )
 
 	return false;
 }
+
+// Hook to delete the global styles stylesheet transient after core update.
+add_action( '_core_updated_successfully', 'wp_test_56970_delete_global_styles_stylesheet_transient' );
+function wp_test_56970_delete_global_styles_stylesheet_transient() {
+	$transient_name = 'global_styles_' . get_stylesheet();
+	delete_site_transient( "transient_{$transient_name}" );
+}