The defender went down awkwardly following a collision with Wales midfielder Andy King and had pitch-side treatment to his lower left leg before departing.
Gimenez has made 32 appearances in all competitions for Atletico this season, forming a key alliance with international team-mate Diego Godin at the heart of Diego Simeone's miserly defence.
Atleti lie second in LaLiga, 11 points shy of champions-elect Barcelona, and have only been breached 14 times in 29 top-flight matches.
26 March 2018
Simeone's men return to league action on Sunday at home to Deportivo La Coruna - the start of an eight-day period that takes in the first leg of a Europa League quarter-final against Sporting CP and 'El Derbi' at the Santiago Bernabeu against Real Madrid.
Montenegro international Stefan Savic returned from a hamstring injury to take a place on the bench for a 2-1 loss at Villarreal last time out and would probably step in if Gimenez is ruled out for a period of time.
With Savic back, Simeone might have been hoping to use Gimenez at right-back after Juanfran sustained a hamstring problem in the 5-1 Europa League win at Lokomotiv Moscow.