diff --git a/wp-includes/class-wp-customize-panel.php b/wp-includes/class-wp-customize-panel.php
index 02c46ed695..6ec6cd55e0 100644
--- a/wp-includes/class-wp-customize-panel.php
+++ b/wp-includes/class-wp-customize-panel.php
@@ -232,10 +232,11 @@ class WP_Customize_Panel {
 	 * feature support required by the panel.
 	 *
 	 * @since 4.0.0
+	 * @since 5.9.0 Method was marked non-final.
 	 *
 	 * @return bool False if theme doesn't support the panel or the user doesn't have the capability.
 	 */
-	final public function check_capabilities() {
+	public function check_capabilities() {
 		if ( $this->capability && ! current_user_can( $this->capability ) ) {
 			return false;
 		}
diff --git a/wp-includes/customize/class-wp-customize-nav-menus-panel.php b/wp-includes/customize/class-wp-customize-nav-menus-panel.php
index c0d098bc7d..18328e5d3f 100644
--- a/wp-includes/customize/class-wp-customize-nav-menus-panel.php
+++ b/wp-includes/customize/class-wp-customize-nav-menus-panel.php
@@ -98,4 +98,27 @@ class WP_Customize_Nav_Menus_Panel extends WP_Customize_Panel {
 		<li class="customize-control-title customize-section-title-nav_menus-heading"><?php _e( 'Menus' ); ?></li>
 		<?php
 	}
+
+	/**
+	 * Checks required user capabilities and whether the theme has the
+	 * feature support required by the panel.
+	 *
+	 * @since 5.9.0
+	 *
+	 * @return bool False if theme doesn't support the panel or the user doesn't have the capability.
+	 */
+	public function check_capabilities() {
+		/*
+		 * WP_Customize_Panel::$theme_supports only supports checking one
+		 * theme_supports, so instead we override check_capabilities().
+		 */
+		if (
+			! current_theme_supports( 'menus' ) &&
+			! current_theme_supports( 'widgets' )
+		) {
+			return false;
+		}
+
+		return parent::check_capabilities();
+	}
 }
diff --git a/wp-includes/version.php b/wp-includes/version.php
index 5e5778d61a..42a998a396 100644
--- a/wp-includes/version.php
+++ b/wp-includes/version.php
@@ -16,7 +16,7 @@
  *
  * @global string $wp_version
  */
-$wp_version = '6.0-alpha-52620';
+$wp_version = '6.0-alpha-52621';
 
 /**
  * Holds the WordPress DB revision, increments when changes are made to the WordPress DB schema.