Fabregas had just been finding his form having returned late after reaching the World Cup final, but after receiving specialist treatment in Paris, the 23-year-old could now be back in action for the trip to Stamford Bridge on October 3.
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"But at the moment we don't know, it's too early."
With England defender Kieran Gibbs having joined Theo Walcott, Robin van Persie and Nicklas Bendtner on the sidelines after picking up a foot injury in the midweek Carling Cup win at Tottenham, the news of Fabregas' potential quick return is a timely boost.
Defender Thomas Vermaelen (Achilles) will miss Saturday's Premier League clash against West Brom at Emirates Stadium, while Tomas Rosicky (ankle) and Emmanuel Eboué (knee) face fitness tests, but midfielder Abou Diaby (leg) could return.
Fabregas will also miss Arsenal's Champions League game at Partizan Belgrade next Tuesday night, but the Spaniard is keeping his fingers crossed he will be available to face the Blues.
"The injury is not as bad as we first thought," Fabregas told Spanish radio station COPE. There is no muscle rupture and I will be back perfect in about 10 to 11 days.
"I am working with an osteopath in Paris and just working day to day. I think I will make the Chelsea game."