The 34-year-old actor married his former Shameless co-star Anne-Marie Duff in 2006 and the couple live in a north London apartment with their three-year-old son, Brendan, reported Daily Star.
McAvoy says he wants to spend more time in Glasgow for the sake of his young son.
"For the first time in 10 years I thought that I really want to live here again. I can't do that because my work's all down south and I would spend all my time travelling, so I have found myself coming up the road a lot more - and trying to get my son a Scottish accent,"
McAvoy returned to Glasgow for six weeks while filming his new movie Filth and realised how much he missed the city.
"I'd been away from Glasgow for a long time. To be honest, while I was away whenever I'd return for a visit, I felt that the Glasgow I knew had moved on and didn't really feel like the city I grew up in," McAvoy said.
"What was brilliant was that I got to spend six weeks living in Glasgow while making the film and I then realised that wasn't true," he added.
