In a web-chat for The Guardian to promote his new play "Unreachable, Smith told a fan that their young daughter "has a chance" of playing the Time Lord.
"I think a lady Doctor could be close - and would be fun.
So practise, practise, practise. And talk really fast. And think really fast. And be really brave. And mad. And silly.
And good luck - maybe it will be you!" Smith said.
Asked if he regretted appearing on the series himself, Smith replied: "No, absolutely not.
"I'm very grateful for everything Doctor Who has done for me. It's opened more doors than it's closed. Like everything it's a process of time. In 10 years, hopefully, I'll be known for something else.
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