The former England captain's contract with the capital club expires in June but the Swede is confident that his teammate will sign a new deal and lead the club to silverware.
"We are going to win the Champions League - and David is going to be part of it," the 31-year-old told Sky Sports. "The owners want him to stay, the coach wants him to stay, the players want him to stay, and that is why I am sure he will commit to at least another season in the summer.
"David is a true professional and he is as disappointed as anybody, but he believes in this project and that is why he will stay."
PSG was eliminated by Barcelona in the Champions League quarterfinals on away goals and Ibrahimovic believes his side had done enough to progress.
"Of course it is disappointing to go out to Barcelona. Over the two games we thought we had done enough to beat them," Ibrahimovic said. "The positives are that Europe has seen what we are about, that we are not just a wealthy club playing at this, but we can compete with any team in Europe."