The England defender had a scan on Merseyside on Tuesday after he limped out ofthe 2-1 win and has been ruled out of games against Birmingham, West Ham and Stoke.
Blow: Jagielka holds off a challenge from Ya Ya Toure on Monday night
He could also miss the Goodison Park match against Tottenham on January 5 as wellas the FA Cup third round tie at Scunthorpe three days later.
It is a blow for Everton, who are already without Holland defender John Heitinga - Jagielka's natural replacement - because of knee trouble.
Everton fear he will be out untilthe new year, too, after he saw a specialist on Tuesday.
Bordeaux, meanwhile, are ready to bid for Everton striker Louis Saha when theJanuary transfer window opens.
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