Fabregas out of trip to Hull & back
"His chances of playing are 0.5 percent - that means unless a miracle happens, he will not play. At the moment, he is out of Saturday's game," the Frenchman told the club website.
Fabregas, who has been in exceptional form this season scoring 14 league goals, injured his hamstring against Burnley last week and missed the 5-0 Champions League drubbing of Porto on Tuesday.
Arsenal defender William Gallas is still injured, while Czech midfielder Tomas Rosicky (groin) and defenders Sol Campbell (fatigue) and Bacary Sagna (ankle) are also doubtful.
Arsenal are third, two points behind leaders Manchester United.