The 62-year-old actor, who portrayed the fifth incarnation of the Doctor, refused to say whether he would star in 'The Day of the Doctor', the 75-minute-long special starring Matt Smith and David Tennant, which will air on November 23.
Speaking to BANG Showbiz, Davison said: "I'm making an appearance somewhere over that period of time but I can't reveal in what.
"I can't reveal anything specific about it. I'm not allowed to. It is a big year for the show and we're all doing our bit for it. Trust me."
Davison also revealed that he believes Doctor Who will come to an end and that people will "get a bit tired" of the BBC sci-fi show.
He said: "There will get to a point where people get a bit tired of Doctor Who. I don't know, maybe it will need a little rest. I'd love to see it carry on but you can never tell."
The actor also offered his thoughts on Peter Capaldi, who takes over as the twelfth Doctor from Smith during the Christmas episode this December.
Davison described the Thick of It star as "a brilliant choice", adding: "He's a fantastic actor and he has that sort of sense of humour. He has an edge to him as well and I think it's nice to have a maturer Doctor.
"I grew up with mature Doctors so I think it's an excellent choice."
Davison went on to jokingly compare Doctor Who to "the North Korean dynasty", as Tennant - who married Georgia Moffett - is Davison's son-in-law.
"We're just going to pass it on down the line until one of us pops our clogs. It's all ours now - it's the Davison and Tennant dynasty."
Doctor Who Christmas Special - on-set pictures: