The Hobbit director said that discussions about his involvement in an episode of the BBC programme are "actually kind of serious", according to Digital Spy.
He said: "I would be very happy to. I'd love to try my hand at television, because I've never had the discipline of having to shoot for those impossibly tiny schedules. I think I could do it OK now."
He added: "I did suggest that they did a New Zealand story - something to do with the [rugby union] All Blacks versus the Daleks. There's a good story in there, although obviously the All Blacks would have to win!"
Doctor Who's former executive producer, Caroline Skinner, previously said that she would "love to bring Doctor Who down under" after its 50th anniversary episode, which was shown last month.
Peter's latest film, The Hobbit: The Desolation Of Smaug, is released in cinemas this Friday, December 13.