Mbappe appeared frustrated during last week's 1-1 Champions League draw with Borussia Dortmund in Germany, disappointed with his teammates for settling for a point when a win would have seen them finish top of their group.
He again looked less than happy at times during Sunday's 1-1 draw at Lille in Ligue 1, a match in which he played through the middle of the attack, away from his usual preferred role on the left flank.
"As always, a perfect relationship," Luis Enrique said when asked how he got on with Mbappe at a press conference on Tuesday, on the eve of PSG's final match of the year at home to Metz.
"We are not a couple but that is mainly because he doesn't want us to be. I don't know why I keep getting asked this question. I am very close to most of my players," the Spaniard joked.