Fabregas has emerged as a shock target for West Ham.
The Spain international has struggled for game time at Stamford Bridge following the appointment of Antonio Conte in the summer.
His lack of minutes has led to speculation he could be about to join Chelsea’s London rivals.
Cesc Fabregas is reportedly set to stay at Chelsea
Chelsea transfers: Deadline day ins and outs rumours rated
Mon, January 30, 2017
Football Whispers have rated Chelsea's chances in the transfer market ahead of deadline day (1 – unlikely, 5 – likely)
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Cesc Fabregas has struggled for game time under Antonio Conte
But Sky Sports claim there is no chance of Fabregas leaving Stamford Bridge for the London stadium today.
However, the Hammers aren’t the only club interested in securing his signature.
The news Cesc Fabregas is staying will come as a blow to West Ham boss Slaven Bilic
Told no chance of West Ham signing Cesc Fabregas today. He's happy at Chelsea. AC Milan, Inter Milan & Juventus all interested
— Kaveh Solhekol (@SkyKaveh) January 31, 2017
Italian trio Juventus, AC Milan and Inter Milan all retain an interest in the former Barcelona star.
Should he stay, Fabregas is expected to play some part in Chelsea’s crunch Premier League clash with Liverpool tonight (8pm).
The Blues travel to Anfield aiming to extend their lead over Jurgen Klopp’s side to 13 points.