I need some help on whether or not I should buy a new cpu.

A year ago I bought a hp computer from best buy. I upgraded it since then and right now I have a 750w power supply, 10gb ddr3, and I'm upgrading from my gtx560 to a 660ti over x-mas. Now I was recently informed that my processor might be a bit on the slower side as it is only running at AMD A6-3600 quadcore 2.10ghz. I play video games all the time and that is the primary use of my pc. Is it worth investing the money and time to swap out my processor for a new one running at say 3.4-3.6ghz. Or is my quadcore 2.10ghz fine enough for gamming if I have a high end card?