His last appearance for Wales came in the 30-21 victory over Barbarians in June 2011 but his impressive performances have put pressure on incumbent No.10 Rhys Priestland.
But despite the autumn internationals being less than a month away, Biggar has played down talk of an international recall.
"I'm just playing as well as I can for the Ospreys. It really isn't in my mind about Wales," he said.
"It's about winning games for the Ospreys, which we have been lucky enough to do.
"I'm enjoying myself and that's probably taken a little bit of pressure off myself in terms of thinking, 'I have to play every week to get back in for Wales'.
"That's not in the picture for me at the minute. I'm really just concentrating on the Ospreys. If I get a Wales call, top of the world.
"If that comes then it's a great achievement and something I will treasure. The main thing for me is picking points up for the Ospreys and repaying the faith the Ospreys have shown in me."