Sagna sustained the injury in the 2-0 win over Napoli in the Champions League on Tuesday.
The France international managed to play the while game, but the injury will see the defender miss the Premier League clash with West Brom on Sunday.
The injury is also expected to see Sagna miss the games against Norwich, Crystal Palace and the Champions League clash with Borussia Dortmund.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.