The French champions are closely monitoring the Juventus midfielder and could make a move during the summer transfer window.
Paris Saint-Germain president Nasser Al-Khelaifi has revealed that the French champions are keen to sign the 20-year-old at the end of the season.
The Frenchman has long been linked with a move to the Ligue 1 leaders and Al-Khelaifi has confirmed that PSG are eager to lure Pogba back to his native country, but they are 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 confirmed that the club have no plans for the winter transfer window, unless there are any serious injuries.
"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.