As often as not he has disappointed, however, losing to players with clearly inferior talent, and displaying an unfocused attitude instead of ruthlessly dispatching his opponents.
"It's frustrating to watch him," 18-times grand slam winner Evert said on Wednesday ahead of the U.S. Open, where she will be part of ESPN's coverage.
"(He) brings talent to another level that we've never seen I don't think, in the tennis world.
"But you can't change DNA. You can't change the wiring of somebody. This change has got to come within himself.
"He's going to coast as long as he wants, as long as he can, but at some point, I think we all who are fans of his and love his tennis are probably wanting this more than he is right now."
The U.S. Open starts in New York on Monday. SBS will broadcast two matches daily from the quarterfinals on.
Former world number four Brad Gilbert describes Kyrgios as "too much of a showman".
"He's got immense talent but unfortunately he doesn't know how to use it at the moment," Gilbert said.
"He's become a bit of a prisoner to hitting tweener shots between his legs, imitating other players' serves.
"He needs a trainer, he needs a coach, and then he needs the ability to let them make the decisions for him," Gilbert added.
"If he does that, I think that his skill set is still better than probably anybody's, so those are the questions that he's got to learn to answer and want to do. But maybe he's happy doing what he's doing."
Evert also questioned whether Kyrgios is prepared to make the sacrifices to become a great.
"He's a complicated guy and I wonder if he just doesn't want to give up a lot," she said.
"To be the best to win Grand Slams, you have to make mental and emotional sacrifices, as well as physical.
"I think he doesn't train like the top men do, and I don't think mentally and emotionally he's at that level of the top players.
"But he's gotten by with not having to work that hard at any of those components.
"He doesn't have that champion hunger yet. Will he ever get it? Will somebody get it out of him? Or will he get it out of himself? That is the thousand-dollar question."
