my computer is kind of borderline spec wise (3+ year old 2.4Ghz Quad-core, 3Gb ram, 2Gb Nvidia card),
Here are the minimum specs...
CPU - 3.0GHz Dual-Core, 2.4GHz Quad-Core
GRAPHICS - nVidia 9600 GT 512Mb, ATI Radeon HD 4750 512Mb
MEMORY - 2Gb RAM
So you're close but you should be good I think. Won't be able to turn up the graphics or anything but it should be playable. What nvidia card do you have?