diff --git a/src/shell-window-tracker.c b/src/shell-window-tracker.c
index 85c787096..4b4f1895e 100644
--- a/src/shell-window-tracker.c
+++ b/src/shell-window-tracker.c
@@ -395,13 +395,6 @@ get_app_for_window (ShellWindowTracker    *tracker,
   if (meta_window_is_remote (window))
     return _shell_app_new_for_window (window);
 
-  /* Check if the window was opened from within a sandbox; if this
-   * is the case, a corresponding .desktop file is guaranteed to match;
-   */
-  result = get_app_from_sandboxed_app_id (window);
-  if (result != NULL)
-    return result;
-
   /* Check if the window has a GApplication ID attached; this is
    * canonical if it does
    */
@@ -416,6 +409,15 @@ get_app_for_window (ShellWindowTracker    *tracker,
   if (result != NULL)
     return result;
 
+  /* Check if the window was opened from within a sandbox; if this
+   * is the case, a corresponding .desktop file is guaranteed to match;
+   * Do this after having checked by WM_CLASS so that sandboxed apps
+   * installing multiple .desktop files can properly match their windows.
+   */
+  result = get_app_from_sandboxed_app_id (window);
+  if (result != NULL)
+    return result;
+
   result = get_app_from_window_pid (tracker, window);
   if (result != NULL)
     return result;