'Should' is the operative term. It SHOULD work so long as the rest of the computer isn't taking up too much power. We can theorize about it using PSU calculators and reviews for hours. If you're having doubts or plan to upgrade your PC anymore you probably could do with a bigger power supply. Note, the operative term is 'probably'. Every system is different.
Yes, with that kind of amperage on the 12V rail I agree, it SHOULD work. I hope that gives you more confidence in making a decision