The Spain international played the entirety of Sevilla's 1-0 defeat at Sporting de Gijon on Saturday, but reportedly finished the match with physical complaints.
A scan undergone on Monday revealed that Navas has sustained a grade I-II sprain in the ligaments in his right ankle.
The 26-year-old has already begun treatment for the problem and is in a race against time to be available for the match against the Catalan giants.
Sevilla, who lie in 11th position in the Liga standings, with 33 points from 26 games, head into Saturday's game on the back of a three-game winless run.
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