CNN

Will Obama get a beer with Sean Hannity.

(CNN) - They're the unlikeliest of drinking buddies: President Obama and one of his fiercest critics - Fox News host Sean Hannity.

But the two may just be getting closer to sharing a bottle or two– so long as Hannity is willing to foot the bill - according to White House spokesman Robert Gibbs.

"Get him a six pack of Budweiser and we'll meet Hannity anywhere he wants to go," said a laughing Gibbs, who also added the meeting should take place in public otherwise "nobody would believe it actually happened."

The comments come one day after the president was asked at a town hall in Indiana whether he would take up Hannity's open invitation to meet for a beer.

“I didn't know he had invited me for a beer, but I will take that under advisement…I'm always good for a beer." Obama said.

Watch: Obama says 'he's always good for a beer'

Hours later on his radio program, Hannity said he's pleased with the president's gesture.

"It seems like he's opened the door that he wants to meet with me," he told his listeners. "Now if he does, I would go on your behalf.”