"David has experience and he knows that he cannot change history. The history that Sir Alex did is there and it is there forever.
"Is that a problem for David? I don't think so. I think David doesn't want to be compared with Sir Alex.
"I think he's in the best moment of his career - maturity, experience, a big, big, big club, very good players. I think he's in a fantastic position and I think he's going to do very well.
"I hope he doesn't win everything and he will leave something for the others, but he's in fantastic condition."
Mourinho enjoyed a close relationship with Sir Alex Ferguson and hopes to have a similar one with his successor.
"You have the guarantee that after the match, independent of the result, we are together again, enjoying our time and having a laugh," he added.
"With David we don't have this kind of relationship, but we have a good relationship.
"I think we can start this kind of very nice relationship I had always with Sir Alex, no problem.
"During the game, it's a game. It's not manager against manager. It's club against club, it's 11 against 11, it's big players against big players. We just do our job normally."