diff --git a/src/wp-includes/user.php b/src/wp-includes/user.php
index 6326616941..d4392cd2fa 100644
--- a/src/wp-includes/user.php
+++ b/src/wp-includes/user.php
@@ -162,8 +162,8 @@ function wp_authenticate_username_password($user, $username, $password) {
  * @since 2.8.0
  *
  * @param WP_User|WP_Error|null $user     WP_User or WP_Error object from a previous callback. Default null.
- * @param string                $username Username. If passed, cancels the cookie authentication.
- * @param string                $password Password. If passed, cancels the cookie authentication.
+ * @param string                $username Username. If not empty, cancels the cookie authentication.
+ * @param string                $password Password. If not empty, cancels the cookie authentication.
  * @return WP_User|WP_Error WP_User on success, WP_Error on failure.
  */
 function wp_authenticate_cookie($user, $username, $password) {