Mbappe, 21, is widely regarded as one of the world's best players and a future winner of the prestigious individual honor.
Mbappe said it was a prize he would like, but he is in no rush to claim the honor.
"It would be nice to win, but it is not something that keeps me awake at night," the France international told The Mirror.
"I don't think I have to win it next season or the season after. There is no time limit I have put on it.
"Always I will put PSG and the national team as my priority, then if personal honors come from my performances then it is a bonus."
But he is yet to win the Champions League and it is a trophy he wants to deliver for PSG.
"To keep on being successful with the national team – next season we have the European Championship and that will be our ambition to be victorious there," Mbappe said.
"It is a big ambition of mine to win the European Cup and to be a part of PSG winning their first European Cup would be very special."