The two are in different roles heading into the final weeks of the campaign, with manager Pochettino under contract but reportedly at risk of losing his job.
Mbappe, meanwhile, is out of contract and wanted by Real Madrid as PSG are desperate to ensure he stays in Paris.
Speaking on Thursday, Pochettino claimed he was “100 per cent” confident he and Mbappe would stay with the Ligue 1 leaders until next season.
“It’s football, and we never know what might happen,” he said. “But I have to answer the question based on how I feel today.”
Pochettino added that he has not spoken to the PSG hierarchy about his future with Tottenham boss Antonio Conte and Zinedine Zidane being targets if he is sacked.
Mbappe will be looking to improve on his tally of 33 goals and 22 assists this season when PSG travel to Strasbourg on Friday night, with the chance to clinch their league crown.
“I haven’t made a decision but there are new elements,” the Frenchman said earlier this month. “I’m calm, I’m trying to make the best decision with my loved ones.
“If I had made a decision, I would have said so. I want to make the best decision possible. It’s not an easy decision.