The service provider told BBC News that it has entered discussions to bring the auction process forward following the launch of Everything Everywhere's rival EE network.
"We are pushing hard on behalf of our customers," said an O2 spokesperson. "We are hopeful we can come to some agreement to bring the current timeline forward."
Apple's newly announced iPhone 5 will be one of several 4G-enabled handsets to arrive in Britain this year. The device will only have access to the network technology through EE at launch.
O2 is one of several operators that has hit out at Ofcom over its decision to allow Everything Everywhere a head start in the 4G market and has threatened legal action, though such a move could delay the auction.
The 4G auction is currently scheduled for spring 2013.