diff --git a/dlls/winex11.drv/window.c b/dlls/winex11.drv/window.c
index ba722721ad2..f46cbfb088a 100644
--- a/dlls/winex11.drv/window.c
+++ b/dlls/winex11.drv/window.c
@@ -752,6 +752,10 @@ static void set_mwm_hints( struct x11drv_win_data *data, DWORD style, DWORD ex_s
             if (style & WS_MINIMIZEBOX) mwm_hints.functions |= MWM_FUNC_MINIMIZE;
             if (style & WS_MAXIMIZEBOX) mwm_hints.functions |= MWM_FUNC_MAXIMIZE;
             if (style & WS_SYSMENU)     mwm_hints.functions |= MWM_FUNC_CLOSE;
+
+            /* The window can be programmatically minimized even without
+               a minimize box button. Allow the WM to restore it. */
+            if (style & WS_MINIMIZE)    mwm_hints.functions |= MWM_FUNC_MINIMIZE | MWM_FUNC_MAXIMIZE;
         }
     }