diff --git a/lib/class-wp-rest-menus-controller.php b/lib/class-wp-rest-menus-controller.php
index f7e6f36..807ac21 100644
--- a/lib/class-wp-rest-menus-controller.php
+++ b/lib/class-wp-rest-menus-controller.php
@@ -124,7 +124,7 @@ public function prepare_item_for_database( $request ) {
 		$prepared_term = (array) $prepared_term;
 		$schema        = $this->get_item_schema();
 		if ( isset( $request['name'] ) && ! empty( $schema['properties']['name'] ) ) {
-			$response['menu-name'] = $request['name'];
+			$prepared_term['menu-name'] = $request['name'];
 		}
 
 		return $prepared_term;