Fixed layout is generally a pretty bad idea. But if you really want it fixed, be prepared to face clipping. What can you do? Temporarily makes it not fixed, move, etc. But why? It would make it not quite fixed, so why torturing yourself with fixed layout at all then?
Perhaps you should rather review your design. In particular, you can move to the opposite direction and embrace liqiud, fluid, elastic design, as referenced my past answer:
Webpage screen resolution (Cross Browser\Cross Platform) problem[
^].
This is just a suggestion. You can think of something else, but in all cases, I would advice to review your design.
—SA