Mbappe, who PSG acquired for £166m from Monaco, has stated his desire to win the Champions League with his new club.
"I think that PSG is a club that has grown since the arrival of the new owners," the 19-year-old told 'ESPN FC'.
"It has not stopped growing and we need to grow with the club before immediately thinking about the Champions League final and winning the competition.
"There are steps before getting there and we are perfectly conscientious of the fact that we, the players, need to keep growing with the club -- both things and everybody together.
"We will see where we go but yes I think that we, at one moment, want to win the Champions League."
Mbappe's PSG are third in Group C, behind Napoli and Liverpool.