The tournament's leading scorer with eleven goals, Morientes limped out of Saturday's 4-1 home defeat by Stade Rennais FC in Ligue 1, having scored the only goal for Didier Deschamps' side.
Initial reports suggested the 28-year-old had sustained a serious injury, but Monaco doctor Eric Buracchi reassured supporters, saying: "He has suffered a left ankle strain which will not jeopardise his appearance in the final."
However, there is still a chance the Spanish international striker could miss the last game of his club's domestic season at FC Girondins de Bordeaux on Friday.
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