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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.