The BBC is rumoured to be considering making a big-budget film version of the smash hit television show, although reports suggest that funding problems could scupper the project.
Smith, who was a little-known actor when he replaced David Tennant as the timelord earlier this year, believes Doctor Who has the potential to make a successful transition from small to big screen.
And he told the Daily Star Sunday the carrot of the title role in a film could be a major factor in his decision about how long he remains as the Doctor.
'I'd definitely be up for staying on if they did a film - hell yeah. I would be thrilled if there could be a movie version. I want them to do it,' he said.
'There is something brilliantly televisual about Doctor Who, but I think it could definitely work as a film.'
Two movies based on the television series were made during the 1960s, with Peter Cushing taking on the title role to battle the Daleks.