diff --git a/gtk/gtkmenushell.c b/gtk/gtkmenushell.c
index 7e2dbe7b36..6626a0e6fe 100644
--- a/gtk/gtkmenushell.c
+++ b/gtk/gtkmenushell.c
@@ -2057,7 +2057,7 @@ gtk_menu_shell_tracker_insert_func (GtkMenuTrackerItem *item,
 
       gtk_widget_show (widget);
     }
-  else if (gtk_menu_tracker_item_get_has_submenu (item))
+  else if (gtk_menu_tracker_item_get_has_link (item, G_MENU_LINK_SUBMENU))
     {
       GtkMenuShell *submenu;
 
@@ -2070,10 +2070,11 @@ gtk_menu_shell_tracker_insert_func (GtkMenuTrackerItem *item,
        * prevent arbitrary recursion depth.  We could also do it
        * lazy...
        */
-      submenu->priv->tracker = gtk_menu_tracker_new_for_item_submenu (item,
-                                                                      gtk_menu_shell_tracker_insert_func,
-                                                                      gtk_menu_shell_tracker_remove_func,
-                                                                      submenu);
+      submenu->priv->tracker = gtk_menu_tracker_new_for_item_link (item,
+                                                                   G_MENU_LINK_SUBMENU,
+                                                                   gtk_menu_shell_tracker_insert_func,
+                                                                   gtk_menu_shell_tracker_remove_func,
+                                                                   submenu);
       gtk_menu_item_set_submenu (GTK_MENU_ITEM (widget), GTK_WIDGET (submenu));
 
       if (gtk_menu_tracker_item_get_should_request_show (item))
diff --git a/gtk/gtkmenutracker.c b/gtk/gtkmenutracker.c
index ee6f8b0dd7..87a6d2cb52 100644
--- a/gtk/gtkmenutracker.c
+++ b/gtk/gtkmenutracker.c
@@ -560,17 +560,18 @@ gtk_menu_tracker_new (GtkActionObservable      *observable,
 }
 
 GtkMenuTracker *
-gtk_menu_tracker_new_for_item_submenu (GtkMenuTrackerItem       *item,
-                                       GtkMenuTrackerInsertFunc  insert_func,
-                                       GtkMenuTrackerRemoveFunc  remove_func,
-                                       gpointer                  user_data)
+gtk_menu_tracker_new_for_item_link (GtkMenuTrackerItem       *item,
+                                    const gchar              *link_name,
+                                    GtkMenuTrackerInsertFunc  insert_func,
+                                    GtkMenuTrackerRemoveFunc  remove_func,
+                                    gpointer                  user_data)
 {
   GtkMenuTracker *tracker;
   GMenuModel *submenu;
   gchar *namespace;
 
-  submenu = _gtk_menu_tracker_item_get_submenu (item);
-  namespace = _gtk_menu_tracker_item_get_submenu_namespace (item);
+  submenu = _gtk_menu_tracker_item_get_link (item, link_name);
+  namespace = _gtk_menu_tracker_item_get_link_namespace (item);
 
   tracker = gtk_menu_tracker_new (_gtk_menu_tracker_item_get_observable (item), submenu,
                                   TRUE, namespace, insert_func, remove_func, user_data);
diff --git a/gtk/gtkmenutracker.h b/gtk/gtkmenutracker.h
index a025586a8c..6d9d6c8c57 100644
--- a/gtk/gtkmenutracker.h
+++ b/gtk/gtkmenutracker.h
@@ -40,7 +40,8 @@ GtkMenuTracker *        gtk_menu_tracker_new                            (GtkActi
                                                                          GtkMenuTrackerRemoveFunc  remove_func,
                                                                          gpointer                  user_data);
 
-GtkMenuTracker *        gtk_menu_tracker_new_for_item_submenu           (GtkMenuTrackerItem       *item,
+GtkMenuTracker *        gtk_menu_tracker_new_for_item_link              (GtkMenuTrackerItem       *item,
+                                                                         const gchar              *link_name,
                                                                          GtkMenuTrackerInsertFunc  insert_func,
                                                                          GtkMenuTrackerRemoveFunc  remove_func,
                                                                          gpointer                  user_data);
diff --git a/gtk/gtkmenutrackeritem.c b/gtk/gtkmenutrackeritem.c
index 549e979c61..71ed0a8e1b 100644
--- a/gtk/gtkmenutrackeritem.c
+++ b/gtk/gtkmenutrackeritem.c
@@ -106,7 +106,6 @@ struct _GtkMenuTrackerItem
 enum {
   PROP_0,
   PROP_IS_SEPARATOR,
-  PROP_HAS_SUBMENU,
   PROP_LABEL,
   PROP_ICON,
   PROP_SENSITIVE,
@@ -160,9 +159,6 @@ gtk_menu_tracker_item_get_property (GObject    *object,
     case PROP_IS_SEPARATOR:
       g_value_set_boolean (value, gtk_menu_tracker_item_get_is_separator (self));
       break;
-    case PROP_HAS_SUBMENU:
-      g_value_set_boolean (value, gtk_menu_tracker_item_get_has_submenu (self));
-      break;
     case PROP_LABEL:
       g_value_set_string (value, gtk_menu_tracker_item_get_label (self));
       break;
@@ -221,8 +217,6 @@ gtk_menu_tracker_item_class_init (GtkMenuTrackerItemClass *class)
 
   gtk_menu_tracker_item_pspecs[PROP_IS_SEPARATOR] =
     g_param_spec_boolean ("is-separator", "", "", FALSE, G_PARAM_STATIC_STRINGS | G_PARAM_READABLE);
-  gtk_menu_tracker_item_pspecs[PROP_HAS_SUBMENU] =
-    g_param_spec_boolean ("has-submenu", "", "", FALSE, G_PARAM_STATIC_STRINGS | G_PARAM_READABLE);
   gtk_menu_tracker_item_pspecs[PROP_LABEL] =
     g_param_spec_string ("label", "", "", NULL, G_PARAM_STATIC_STRINGS | G_PARAM_READABLE);
   gtk_menu_tracker_item_pspecs[PROP_ICON] =
@@ -559,11 +553,12 @@ gtk_menu_tracker_item_get_is_separator (GtkMenuTrackerItem *self)
  * for #GtkMenuTrackerItem.
  */
 gboolean
-gtk_menu_tracker_item_get_has_submenu (GtkMenuTrackerItem *self)
+gtk_menu_tracker_item_get_has_link (GtkMenuTrackerItem *self,
+                                    const gchar        *link_name)
 {
   GMenuModel *link;
 
-  link = g_menu_item_get_link (self->item, G_MENU_LINK_SUBMENU);
+  link = g_menu_item_get_link (self->item, link_name);
 
   if (link)
     {
@@ -652,13 +647,14 @@ gtk_menu_tracker_item_get_special (GtkMenuTrackerItem *self)
 }
 
 GMenuModel *
-_gtk_menu_tracker_item_get_submenu (GtkMenuTrackerItem *self)
+_gtk_menu_tracker_item_get_link (GtkMenuTrackerItem *self,
+                                 const gchar        *link_name)
 {
-  return g_menu_item_get_link (self->item, "submenu");
+  return g_menu_item_get_link (self->item, link_name);
 }
 
 gchar *
-_gtk_menu_tracker_item_get_submenu_namespace (GtkMenuTrackerItem *self)
+_gtk_menu_tracker_item_get_link_namespace (GtkMenuTrackerItem *self)
 {
   const gchar *namespace;
 
diff --git a/gtk/gtkmenutrackeritem.h b/gtk/gtkmenutrackeritem.h
index 859022d466..41649848ab 100644
--- a/gtk/gtkmenutrackeritem.h
+++ b/gtk/gtkmenutrackeritem.h
@@ -54,7 +54,8 @@ GtkActionObservable *  _gtk_menu_tracker_item_get_observable            (GtkMenu
 
 gboolean                gtk_menu_tracker_item_get_is_separator          (GtkMenuTrackerItem *self);
 
-gboolean                gtk_menu_tracker_item_get_has_submenu           (GtkMenuTrackerItem *self);
+gboolean                gtk_menu_tracker_item_get_has_link              (GtkMenuTrackerItem *self,
+                                                                         const gchar        *link_name);
 
 const gchar *           gtk_menu_tracker_item_get_label                 (GtkMenuTrackerItem *self);
 
@@ -68,9 +69,10 @@ gboolean                gtk_menu_tracker_item_get_toggled               (GtkMenu
 
 const gchar *           gtk_menu_tracker_item_get_accel                 (GtkMenuTrackerItem *self);
 
-GMenuModel *           _gtk_menu_tracker_item_get_submenu               (GtkMenuTrackerItem *self);
+GMenuModel *           _gtk_menu_tracker_item_get_link                  (GtkMenuTrackerItem *self,
+                                                                         const gchar        *link_name);
 
-gchar *                _gtk_menu_tracker_item_get_submenu_namespace     (GtkMenuTrackerItem *self);
+gchar *                _gtk_menu_tracker_item_get_link_namespace        (GtkMenuTrackerItem *self);
 
 gboolean                gtk_menu_tracker_item_may_disappear             (GtkMenuTrackerItem *self);
 
diff --git a/gtk/gtkpopover.c b/gtk/gtkpopover.c
index d9ce6328ad..77f414b1aa 100644
--- a/gtk/gtkpopover.c
+++ b/gtk/gtkpopover.c
@@ -2039,7 +2039,7 @@ gtk_popover_tracker_insert_func (GtkMenuTrackerItem *item,
           gtk_widget_show (widget);
         }
     }
-  else if (gtk_menu_tracker_item_get_has_submenu (item))
+  else if (gtk_menu_tracker_item_get_has_link (item, G_MENU_LINK_SUBMENU))
     {
       GtkMenuTracker *tracker;
       GtkWidget *child;
@@ -2084,7 +2084,9 @@ gtk_popover_tracker_insert_func (GtkMenuTrackerItem *item,
       gtk_widget_set_halign (content, GTK_ALIGN_FILL);
       gtk_widget_show (content);
       gtk_container_add (GTK_CONTAINER (child), content);
-      tracker = gtk_menu_tracker_new_for_item_submenu (item, gtk_popover_tracker_insert_func, gtk_popover_tracker_remove_func, content);
+      tracker = gtk_menu_tracker_new_for_item_link (item, G_MENU_LINK_SUBMENU,
+                                                    gtk_popover_tracker_insert_func,
+                                                    gtk_popover_tracker_remove_func, content);
 
       g_object_set_data_full (G_OBJECT (widget), "submenutracker", tracker, (GDestroyNotify)gtk_menu_tracker_free);