it will, but you really ought to upgrade to a 6800gt or higher. I'm running a PNY 7800GT and i have no glitch problems, but then again you need at least $300 dollars for one of those..... try newegg.com, they have the latest computer hardware for relatively cheap prices. Good luck with game.
try upgrading your ram too. look at corsair. they make some of the better ram out there.
Nick