The centre back will therefore miss the Champions League ties with Paris St Germain, according to Diario Sport.
Puyol has had an injury plagued season with the Catalan giants, and Javier Mascherano may deputise in his absence.
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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.