The 27-year-old midfielder is under contract until 2028 but has recently left the door open over his long-term future at Anfield.
“There is no final decision carved in stone. The reality is that I still have two years left on my contract,” Mac Allister said.
“I really enjoy being where I am. I hope to stay for more years, but if it ends up being just two, that's fine too.”
Those comments followed remarks from his father, Carlos Mac Allister, which also raised questions about the midfielder's future and have fuelled speculation over a possible departure.
According to TuttoMercato, PSG have now identified Mac Allister as a potential target.
The French champions could view the midfielder as an attractive market opportunity either next summer or potentially earlier, while Real Madrid have also previously been linked with him.
For now, Mac Allister remains focused on Liverpool, but the lack of a new agreement has left his longer-term future open to speculation.