The comedian also said that he intends to bring the BBC sitcom on tour as a live stage show production.
"We are very much talking about doing a live version of it," he is quoted as saying in The Sun. "It's just time and trying to juggle everything. I'm hoping to do something in the next two years."
He continued: "I think it would work as a film. It's just pacing it differently and again, time. You can't write a movie of Not Going Out and tour it live and do a stand-up tour and have three kids. So I might have to get rid of the kids."
Not Going Out has been honoured by the Royal Television Society, while also winning a prestigious Rose d'Or.
The show was launched in 2006 and cancelled after three series before later being renewed. A sixth series will premiere in 2013.
Mack added: "It hasn't always felt like a success. The day before we did the pilot, there was a documentary on television called Who Killed The Sitcom?.
"It was felt that it was sort of a has-been genre. We were largely ignored for the first couple of years and slightly seen as a dinosaur."
On a possible American remake, he said: "I'd love it if anyone wanted to remake Not Going Out. I'd be very proud of that. I'd be pushing for me to play my character in America. Why not?"
Lee Mack won the 'Best Male TV Comic' prize at the British Comedy Awards earlier this week.
Watch Lee Mack and Tim Vine talk about 'Not Going Out' on This Morning below:
Photo gallery - British Comedy Awards 2012:
Copyright: PA Images Yui Mok/PA Wire