wine users - Feb 2010 - Crosshairs/mouse problem with Jedi Outcast/Academy

I have a problem in both Jedi Academy and Outcast where my crosshairs are sort
of sticky or stuttering. When I move the mouse, the screen seems to scroll
smoothly, but the crosshairs tend to stay stuck on whatever they are pointing at
rather than remaining fixed in the center of the screen, until they jump to get
back to the center of the screen or whatever their home position should be.
It's not a huge jump, but it does make aiming rather difficult. The problem
gets worse the more there is going on in the screen.

I run other Q3 based games in Wine without this problem. I'm running Ubuntu
8.04 with a GeForce 7600 and I've used both the latest drivers and the
no-so-latest drivers and still get this problem.

I forgot to mention that I currently use Wine 1.1.35, but I've had this
problem with every version of Wine I've tried as well. I think I sarted with
Wine 0.93.