The former England captain signed a five-month deal with the Ligue 1 side in January, keeping him at the club until the end of the season.
However, the Swedish striker told Sky Sports News: "We are going to win the Champions League and David is going to be part of it.
"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 [at PSG's exit from the Champions League] as anybody, but he believes in this project and that is why he will stay."
PSG were knocked out of the tournament by Barcelona earlier this week.