The French club is closely monitoring the powerful Juventus midfielder and could make a move during the summer.
The 20-year-old has long been linked with a move to the Ligue 1 leader and Al-Khelaifi has confirmed that PSG is eager to lure Pogba back to his native country, although the team is willing to wait until the summer.
"Paul is a Parisian. He is a great player and he represents the future of France," Al-Khelaifi told Le Parisien. "We will not try to sign him this winter, but maybe we will give it a try next summer."
The PSG chief then went on to stress that his team has no transfer plans this winter unless it picks up any injuries in January.
"At the moment, we are not thinking about one player in particular. We are keeping an eye on the transfer market because you never know what will happen in the next few weeks. Someone could get injured," he continued.
"I don't think we will sign someone this winter, though. We have a good team as it is."
Pogba's current deal with Juventus runs until June 2016.