Madden is currently dating Jenna Coleman, who stars in Doctor Who as The Time Lord's companion Clara Oswald.
Speaking to Zap2It, Madden revealed that he has long enjoyed the BBC's iconic science fiction series.
"I mean, I love Doctor Who. I've always loved Doctor Who," he said.
The actor added of a possible cameo: "We'll just see what happens in the future."
Doctor Who will return for an eighth series later this year, with Peter Capaldi as the new Doctor.
Series nine is expected to follow in 2015.
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