The French forward was in blistering form again on Wednesday as he scored twice in a huge 3-2 win for PSG away at Bayern Munich.
It took Mbappe just three minutes to find the net against the Champions League holders, before he later struck the winner in a thrilling game of end to end action.
But BT Sport pundit Steve McManaman has questioned whether he will be able to do that while still a PSG player.
“I don’t know whether he can keep improving at PSG,” McManaman said. “I think he’s an incredible, incredible footballer. He’s the rightful heir to Cristiano Ronaldo and Lionel Messi’s throne, which is going to happen now or next year.
“His numbers are fantastic. I just don’t know whether he needs to leave and go to a more accomplished team, not just a team littered with a couple of stars but a really compact group of individuals to take him to the next level.
“Maybe it’s a bit strange saying that, seeing what he’s achieved already.
“But I feel if he went to a team like Bayern he could really excel and kick on again, and get to the numbers to usurp a Lionel Messi.”
Mbappe’s future is still up in the air as we approach the summer when he will enter the final 12 months of his PSG contract unless an extension can be agreed in the meantime.
However, it seems the youngster has little intentions of rushing his decision as he continues to stall over a new deal.
PSG are now facing the realistic prospect of losing their star attraction for nothing next year, which could well force their hand in the transfer market this summer.
McManaman’s fellow pundit Owen Hargreaves said: “He’s only got a year left on his contract, everyone is going to want to be queuing up because on that form he’s unplayable.
“It would be a cut-price (if he leaves this summer). They’re under a lot of pressure PSG.
“For PSG and Pochettino that performance is key for them because hopefully they can find a way to tie them both down. Neymar at 29 is probably not as essential as Mbappe.
“At 22, that doesn’t happen and Mbappe has all the cards, he just has to decide what he wants to do.”
Sign up for our boxing newsletter!
But while PSG are doing their utmost to keep both Neymar and Mbappe for the long-term, McManaman feels that may not be the best course of action.
“I think a lot of things have to change within the whole system at PSG,” the ex-Liverpool star suggested.
“It looks as if the players are more powerful than everybody else and it looks bad at times, they look quite arrogant. If they do get over the line and win that Champions League maybe things will start to turn around.
“You can see that nobody can control the players, it was the same when Thomas Tuchel was there and managers previous.
“If anything happened in the team the manager got sacked, and a new manager came in. And again Neymar was the number one person in the group, you couldn’t control him, and Mbappe is second.
“One of them may have to leave,” he added. “If you’re PSG you’ll want to keep Mbappe, a Frenchman and build your team around him. And then strengthen and build PSG into a team rather than a group of two or three really powerful individuals.”
[email protected] (Darren Wells)