Real Madrid have been backed to make a move for Mbappe when the transfer window reopens this summer.
The 18-year-old has enjoyed a fine campaign at Monaco, scoring 19 goals across 32 games.
As well as Madrid, Manchester United are also reportedly keen on the teenager.
It was reported last week that Cristiano Ronaldo had urged Madrid to invest in the Monaco hitman at the end of the season.
Cristiano Ronaldo wants Real Madrid to sign Kylian Mbappe
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Mon, March 6, 2017
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Antoine Griezmann (Atletico Madrid) – repeatedly linked with Manchester United
Kylian Mbappe has been in fine form for Monaco this season
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But Spanish outlet Don Balon claim his Real team-mates think differently.
Instead, they would rather the club keep faith with Chelsea target Alvaro Morata.
Morata has struggled for game time since rejoining Madrid from Juventus back in the summer.
Real Madrid players want Alvaro Morata to be given more game time
The Spain international has made just nine starts in La Liga, scoring eight goals along the way.
Chelsea tried to sign him in the summer and, with Diego Costa’s future uncertain, could try again should their star asset leave Stamford Bridge.
Madrid players feel that, should he be given the chance, he could have more of an impact than Mbappe.
And that may not sit well with Ronaldo, who is also said to be at odds with Morata behind the scenes.