The Senegal international was spotted with an ice pack on his leg during the 1-0 victory.
But Klopp has quelled fears over a serious injury for the star forward.
"Sadio has since a few days a dead leg and deals with that in that area," Klopp said post-match.
"That's the only thing why it's still painful but it's not a problem. When he doesn't play, he puts ice on it."