diff --git a/src/wp-includes/rest-api/endpoints/class-wp-rest-users-controller.php b/src/wp-includes/rest-api/endpoints/class-wp-rest-users-controller.php
index c452b30472..a9aff62651 100644
--- a/src/wp-includes/rest-api/endpoints/class-wp-rest-users-controller.php
+++ b/src/wp-includes/rest-api/endpoints/class-wp-rest-users-controller.php
@@ -196,7 +196,8 @@ class WP_REST_Users_Controller extends WP_REST_Controller {
 			$can_view = false;
 			$types = get_post_types( array( 'show_in_rest' => true ), 'objects' );
 			foreach ( $types as $type ) {
-				if ( current_user_can( $type->cap->edit_posts ) ) {
+				if ( post_type_supports( $type->name, 'author' )
+					&& current_user_can( $type->cap->edit_posts ) ) {
 					$can_view = true;
 				}
 			}