Mbappe's contract in the French capital expires this summer and he has continuously been linked with a move to Real Madrid.
The 23-year-old insists his future will only be decided at the end of the season but there are also reports that he could be persuaded to ink a new deal.
PSG can clinch the Ligue 1 title if they get a point against Lens on Saturday and Pochettino hopes he will get positive news from the Mbappe camp when the job is done.
He told reporters: "As a coach, the situation does not bother me. You have to understand it. This does not only happen in Paris, but also in other clubs.
"This is not the first, nor the last time that such situations arise. We have to adapt. Selfishly, I would like to keep Kylian with me, of course.
"I would like to take him on vacation, take him home, keep him all the time. The club would like him to be able to stay here for a long time. It's a negotiation.
"This decision is always related to different parties. It may be taken once the objective of the title is reached, once the season is over."
PSG once again disappointed in Europe this season but Pochettino wants the club's fans to cherish what would be a record-equalling 10th Ligue 1 title and the Argentine's first league triumph as a manager.
The former Tottenham boss added: "You always have to value the possibility of winning a league title because when you don't win it, it becomes a big problem.
"From my personal level, it is very important. It is also for the supporters and we hope that they will celebrate it with us, that they will agree to put the current situation on hold, knowing that the criticisms remain constructive and that the club remains attentive to them.
"Afterwards, the club will make the decisions that will have to be taken. I just hope that tomorrow the fans will be with us and that we can celebrate the title together."
