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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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?