Given that graphics card, yeah. I'd expect that performance out of it. (I have a 7870, same thing).
Turn AF down to like x4 or x8. you wont notice a difference. and if you can, turn AA down to like x 4 or even x2 if you don't notice. Having settings that go to x16 or something gives you a game that looks 0.5% nicer for like 30% more work.