Chelsea boss Thomas Tuchel has told N'Golo Kante he wants him to stay.
The London Evening Standard says Kante and Jorginho having less than a year left on their current contracts.
Wesley Fofana trains with Chelsea
There are concerns about whether Jorginho is running down his deal to move back to Italy, despite his insistence that he is ready to renew his contract.
Meanwhile, Kante is out with a hamstring injury and there are concerns about his ability to overcome increasingly chronic fitness issues.
Tuchel has asked the France World Cup winner to compromise on terms as the club's second highest-paid player.