--- compiz-0.7.4/src/window.c.old	2008-05-07 11:01:12.000000000 -0700
+++ compiz-0.7.4/src/window.c	2008-05-07 11:04:05.000000000 -0700
@@ -622,7 +622,8 @@ setWindowState (CompDisplay  *display,
 	data[i++] = display->winStateAboveAtom;
     if (state & CompWindowStateBelowMask)
 	data[i++] = display->winStateBelowAtom;
-    if (state & CompWindowStateDemandsAttentionMask)
+    if ((state & CompWindowStateDemandsAttentionMask) &&
+	(id != display->activeWindow))
 	data[i++] = display->winStateDemandsAttentionAtom;
     if (state & CompWindowStateDisplayModalMask)
 	data[i++] = display->winStateDisplayModalAtom;