The actor told TV & Satellite Week that being able to do something on the scale of this year's desert trek, however, would depend on his busy filming schedule.
"Yes, time permitting," the Doctor Who star said when asked if he would join one of the future challenges. "We are always filming, so it is really difficult. It's wonderful that Dermot O'Leary and everyone have been having an adventure out trekking in Africa. I'd really like to go out there and do a special report one day as well."
Smith, who will appear in two 2-minute special Doctor Who clips for Comic Relief also revealed his favourite memory of the charity telethon.
"It is something I always watched as a kid, but I think seeing Rowan Atkinson play the Doctor back in 1999 is one of my favourite moments," he said. "The sketch had Hugh Grant in it as well and I thought he and Rowan were brilliant. There is something exciting about getting people together like that as a team."
> Smith teases 'Who' Comic Relief special