diff --git a/hw/xwin/winmultiwindowwindow.c b/hw/xwin/winmultiwindowwindow.c
index 61305e19d..21b818b89 100644
--- a/hw/xwin/winmultiwindowwindow.c
+++ b/hw/xwin/winmultiwindowwindow.c
@@ -506,12 +506,16 @@ winCreateWindowsWindow (WindowPtr pWin)
   iWidth = pWin->drawable.width;
   iHeight = pWin->drawable.height;
 
-  /* ensure window actually ends up somewhere visible */
-  if (iX > GetSystemMetrics (SM_CXVIRTUALSCREEN))
-    iX = CW_USEDEFAULT;
+  /* If it's an InputOutput window, and so is going to end up being made visible,
+     make sure the window actually ends up somewhere where it will be visible */
+  if (pWin->drawable.class != InputOnly)
+    {
+      if ((iX < GetSystemMetrics (SM_XVIRTUALSCREEN)) || (iX > GetSystemMetrics (SM_CXVIRTUALSCREEN)))
+        iX = CW_USEDEFAULT;
 
-  if (iY > GetSystemMetrics (SM_CYVIRTUALSCREEN))
-    iY = CW_USEDEFAULT;
+      if ((iY < GetSystemMetrics (SM_YVIRTUALSCREEN)) || (iY > GetSystemMetrics (SM_CYVIRTUALSCREEN)))
+        iY = CW_USEDEFAULT;
+    }
 
   if (winMultiWindowGetTransientFor (pWin, &pDaddy))
     {
@@ -666,7 +670,8 @@ winUpdateWindowsWindow (WindowPtr pWin)
 	}
 
       /* Display the window without activating it */
-      ShowWindow (pWinPriv->hWnd, SW_SHOWNOACTIVATE);
+      if (pWin->drawable.class != InputOnly)
+        ShowWindow (pWinPriv->hWnd, SW_SHOWNOACTIVATE);
 
       /* Send first paint message */
       UpdateWindow (pWinPriv->hWnd);