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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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.