diff --git a/src/core/display.c b/src/core/display.c
index 57423eef6..14bcebe2e 100644
--- a/src/core/display.c
+++ b/src/core/display.c
@@ -2440,13 +2440,22 @@ meta_display_get_tab_list (MetaDisplay   *display,
 
   mru_list = workspace ? workspace->mru_list : global_mru_list;
 
-  /* Windows sellout mode - MRU order.
+  /* Windows sellout mode - MRU order. Collect unminimized windows
+   * then minimized so minimized windows aren't in the way so much.
    */
   for (tmp = mru_list; tmp; tmp = tmp->next)
     {
       MetaWindow *window = tmp->data;
 
-      if (IN_TAB_CHAIN (window, type))
+      if (!window->minimized && IN_TAB_CHAIN (window, type))
+        tab_list = g_list_prepend (tab_list, window);
+    }
+
+  for (tmp = mru_list; tmp; tmp = tmp->next)
+    {
+      MetaWindow *window = tmp->data;
+
+      if (window->minimized && IN_TAB_CHAIN (window, type))
         tab_list = g_list_prepend (tab_list, window);
     }