The Slovakian international, who joined the Reds from Zenit in 2008, has suffered a knee injury that has been made "worse" by his participation in today's training session.
"He is being assessed but I think he'll struggle," Rodgers told reporters. "He got a little knock on his knee a few days ago and tried to train on it but made it worse. So it's highly unlikely that he will play."
Rodgers's team go into the match having lost the first leg in Russia 2-0.