The Uruguay international, who has scored 11 times in the league this season, took a knock to the ankle during the midweek defeat at Stoke City.
"Luis will be fine," Rodgers told a news conference.
"He's a real robust player and is very rarely in the treatment room.
"He's been playing with a bad ankle for a couple of weeks and took a heavy knock the other night, but he's fine," added Rodgers.
Liverpool are 10th in the league with 25 points, 21 behind leaders Manchester United and eight adrift of fourth-placed Tottenham Hotspur. (Writing By Alison Wildey; editing by Toby Davis)
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