"She received checks in Lyon which revealed a torn ligament in the right knee and small lesion of the lateral meniscus," French team spokesman Maurice Adrait said.
World downhill champion Marion Rolland of France will also miss the Sochi Olympics after suffering the same injury in training.
Worley, 24, crashed in the first leg of the slalom won by Austria's Marlies Schild and stayed on the side of the piste for 20 minutes before being carried away on a stretcher.
(Reporting by Manuele Lang, editing by Ed Osmond)
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