The midfielder recently insisted that he has things to do at Arsenal before he would consider leaving the Gunners.
He has a contract at Arsenal until the end of the season but the north London club have the option to extend it by another year.
But for now, the Italian is in a position to start discussing a pre-contract with suitors from January onwards.
It has been claimed that a club from Saudi Arabia are interested in snapping up the experienced midfielder in the near future.
Talks are already underway between the club and the player’s representatives over a potential move to Saudi Arabia.
It remains to be seen whether the midfielder is prepared to consider a move to the Middle East at this stage of his career.
It is also unclear whether the club are considering signing him in January or are looking at a summer swoop.
Arsenal could extend his contract to make sure they get a fee for him if Jorginho leaves at the end of the season.