Abidal is struggling with a meniscal cyst in his right knee.
The Frenchman will miss the clash with Malaga on Saturday and the Champions League game with Basel on Tuesday.
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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.