Can i renew my thai visa before it expires?

Please help! I have a non immigrant type O multiple entry Thai visa. My Thai visa expires on January 13, 2014. I want to do my last visa run to Australia and stay 3 months. This will bring me to January 9th. I need to know if i can apply for the same Type o non immigrant visa while in Australia before the original one expires. Any help would be greatly appreciated.:) thank you