Smith played the Eleventh Doctor between 2010 and 2013, and was most famously accompanied by Karen Gillan as Amy Pond and Arthur Darvill as Rory Williams.
Speaking to MTV ahead of the new season of The Crown, in which Smith plays Prince Phillip, Smith said he would be keen to return to the show one day.
“I’d come back. Yeah, if the timing was right. “I think we’ve got to give a few years to Miss Whittaker to get the TARDIS under her belt, as it were, and then yeah – one day.”
However, he said the return would likely not be before he turns “old and grey”, joking that he isn’t “far off”. Asked if he had any advice for incoming doctor Jodie Whittaker, Smith said: “I will tell Jodie what I told Peter [Capaldi] – listen to no-one.”
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Earlier this month, a sneak peak of the Doctor Who Christmas Special was unveiled by the BBC as part of the Children in Need celebrations. This will be Peter Capaldi’s final appearance as the Doctor before the role is passed to Whittaker.
Bradley Walsh is among the trio of incoming Doctor’s companions.