The actor, who is rumoured to have reconciled with ex-girlfriend Daisy Lowe, said that he was more open to stripping off after watching Michael Fassbender go full-frontal in Shame.
"I think Shame was brilliant and Michael magnetic in it," the Sunday Mirror quotes him as saying. "One day I would love to do something similar and maybe work with director Steve McQueen.
"Of course I would get naked for a role. I've got naked on stage so why not on screen?"
Smith added that he has more pride in his physique after training for BBC Olympic drama Bert & Dickie, in which he plays champion rower Bert Bushnell.
"I got fitter. I trained twice a week," he explained. "The guys who taught us were remarkable - actual Olympians."
Smith confirmed at the National Television Awards last month that he has no plans to leave Doctor Who.