Yes it will work fine. Although cooler master aren't known for their PSUs that much when contending with other brands out there, still their PSUs are solid i would say. I used to own a 650 W cooler master one before i switched to corsair 750tx one.
Your current PSU has ample power for such a card:
http://www.coolermaster.com/powersupply/thunder/thunder-600w/ is that the one you're talking about bro?
If so, then it has 564 Watts/12 Volts= 47 Amps on the 12V rail and the necessary PCI-E power connectors, which is (6+2)x2 pins.