The Serbian legend will be coached by his former rival at the Australian Open and the seven-time major champion is fascinated to see how two greats of the game work together.
Wilander told Eurosport: "With Novak Djokovic pushing nearly 40 years old, I wouldn't think this relationship is going to last that long, but it is pretty extraordinary that we have thought over all these years how fierce these competitors are at the top and then in the end they're going to help each other out.
"I think Andy Murray has realised that he has been helped out so much by Roger [Federer], Rafa [Nadal] and Novak.
"Yes, he would have won more majors without those three, but at the same time, to be a part of that golden generation must be an incredible feeling for Andy Murray."
Murray was animated on the court during his career as a player but Wilander expects him to take more of an understated approach to coaching.
The Swede said: "I think he's going to be as anonymous as he possibly can be.
"He deservedly needs to be on screen all the time, but I have a feeling that Andy doesn't want that.
"I’m not sure whether he will go on to coach other pros on tour, or will he help the British players back home in London?
"But I'm sure Andy Murray will be involved in the coaching part of tennis for a long time. He loves the game too much, he's too clever. He knows how to win big matches. He knows how to train hard. He knows how to come back from injury.
"I mean, he's got so much valuable information for any player at any stage of their career."