Depending on settings it should run fine.
Here's an example on similar spec:
[video="https://www.youtube.com/watch?v=se4SZcn7ou4"]ttps://www.youtube.com/watch?v=se4SZcn7ou4[/video]
Note that he's using High Foliage and about 40% Draw Distance though, and just Med textures. Draw Distance is a HUGE FPS drain. If you drop DD to 0 and Foliage to Med, you might be able to run High textures.
People put too much stock in Draw Distance. In this game it's just the LOD setting for distant objects. It really only makes distant textures look more detailed. It's not that noticeable. I'm on a 7970 and I run DD at 0 and Foliage and Shadow Maps at Med, with High textures. If you're assuming there will be tons of texture pop-in or limited view distance with DD at 0, that is not the case.