Morrissey told the Radio Times that he loved playing a guest role alongside David Tennant in Christmas Special 'The Next Doctor' and would return to the show if asked.
A preview on Children In Need showed the two actors both playing the role of the Time Lord during a meeting in Victorian London.
"I've had a great time... If they asked me back I'd jump at it, I think it's a great character and I've loved every minute" said Morrissey.
The State Of Play star previously responded to rumours that he will take over from Tennant, saying: "As for any talk of me taking over as the next Doctor, well, if or when they do choose someone, they would have to be totally different to David - which I am."