Running on high is iffy. It will run smoothly for the most part, but when levelution occurs, you will probably have some framerate issues. That's what happens with my 650Ti Boost. Also, I have an i5 4670K so you can compare yours to that to figure out if it would run!
One more thing - The game even on Medium looks fantastic. Medium to High on 1920x1080 isn't a huge difference.