It depends on your resolution really. If it's something like 1600x900 or below, it will handle it on ultra. However, if you're on 1920x1080, you will be able to play on High settings.
Not being a hardcore gamer, I don't particularly mind playing below 60 fps. I do intend to play 1920 x 1080, however. With the 6870 do you think I could get at least 40 fps on ultra with that resolution?