It's been suggested the pair could step away from the game at the same time.
But when asked which of the long-serving duo will retire first, Giggs said: "I think it will be me. The manager is as good as ever and will go on for a long time. I can still see him as manager of United in five years' time, easily, because as long as he is healthy he will have the desire to carry on.
"He has a great team around him, he has his passions away from the game and can get away with his horse racing. When he comes back to football he is refreshed, and I know he still has that desire."