The 26-year-old picked up a cruciate knee ligament injury during Saturday’s draw with Burnley.
Cohen has been told that the injury will see him miss the rest of the season.
The defender sustained a knee problem in 2011 which kep him out for 11 months, but this injury is not a reoccurrence of that problem.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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