The actor, who played the Doctor in 2005, said: "Would I like to be involved? If I told you that, I'd have to shoot you. I've not even thought about it. It's so long ago for me that I haven't even thought about it."
Eccleston also commented on the current Doctor, Matt Smith: "I've not seen him as the Doctor, but I've seen him on stage, he's an excellent actor."
Watch the full interview below: