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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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.