Following his departure from Real Madrid, the Spaniard joined PSG on a free transfer in the summer of 2021, signing a two-year deal with the French side.
Injury restricted Ramos to 13 competitive appearances in his first season at PSG, but he has been a prominent figure in their side this term.
The 36-year-old has featured in 21 games for the French champions this season, chipping in with one goal and one assist.
Although he has established himself as a regular starter, according to Mundo Deportivo, Ramos is still yet to receive a new contract offer from PSG.
With his current deal set to expire at the end of the campaign, Ramos could begin discussions with other clubs from January 1 about a free transfer.
As it stands, Ramos would walk out the door for nothing when his contract expires next summer, although PSG could still decide to present him with a new deal.