"I am with Kylian Mbappe every day, he has never talked to me about leaving in January," Campos told French TV station Canal Plus before the kick-off of the Champions League game against Benfica in Paris.
A win would put PSG three points clear at the top of the group with two rounds left to play.
The France striker turned down a move to Real Madrid in the summer and opted to stay in Paris, signing a lucrative contract extension with the French champions.
But so far this season his form has been erratic.
Campos dismissed suggestions that the player is unsettled.
"It's not a statement from the player, it's (from the press), and to have such information before a match like this is very serious. That's why I'm here, to deny and say clearly that Kylian Mbappe has never spoken to me or to the president (Nasser Al-Khelaifi) to leave PSG in January."
After PSG persuaded Mbappe to stay, Real Madrid president Florentino Perez said the player was left "confused" after being put under intense "political and economic pressure".