The 29-year-old has been a starter in just one game since boss Antonio Conte’s arrival and the club are listening to offers.
Chelsea are even ready to subsidise Fabregas’s £160,000-a-week wages in order to move him out in January.
That has sparked the interest of a number of clubs, including West Ham who are themselves braced for offers from Europe’s top clubs for Dimitri Payet after the playmaker’s claim that he could quit in January.
Conte wants to clear the decks at Stamford Bridge to strengthen his squad in January and build on his stunning transformation of Chelsea.
However Fabregas remains determined to see out his Stamford Bridge contract which runs until 2019 despite being frozen out by boss Antonio Conte.
The Italian, whose side smashed Everton 5-0 at the weekend, has defied expectations to lift the Blues up to second in the table.
He will get backing from the Chelsea board to strengthen after missing out on a string of summer targets, including Napoli defender Kalidou Koulibaly and Roma midfielder Radja Nainggolan.
Conte is in the market for a new midfielder with Jon Obi Mikel also out of his plans. The Nigerian will not be receiving a new contract with his current deal set to run out at the end of the season. Defender Branislav Ivanovic is also on the way out.
wenty-three year old Inter Milan midfielder Geoffrey Kondogbia is on Conte’s radar along with Sevilla star Steven N’Zonzi, 27. Kondogbia, a target for Arsenal last year, is unhappy at not playing regularly and – with Inter in meltdown – he wants out.
The Chelsea boss also wants more depth in defence despite not conceding a goal since the 3-0 defeat at Arsenal on September 24.
Although Kurt Zouma is set to return after the international break after ten months out with a knee injury, Conte still wants to add a centre-half and left-back.
However, his hopes of prising Leonardo Bonucci away from Juventus look doomed after the 29-year-old said: “I feel I have the Juve shirt sewn to my body because I breathe it every day, but wearing the national shirt is also an honour.
“I will give all I have got to improve my qualities and be important for Juve and for the national team.
“Juve have always been my dream. I always supported them.”