The Reds' vice-captain is not available for the clash at Anfield, with Klopp saying pre-match: “Millie felt a muscle a little bit and we cannot take any risk, that’s it.”
Meanwhile, Nathaniel Clyne comes in for his first Premier League appearance of the season after recovering from injury, with Trent Alexander-Arnold and Joe Gomez both ruled out along with Milner.
“[He is] As ready as possible. Clyney is a high-class player,” Klopp continued.
“He didn’t play for a while, that’s true, he was injured and we had other options in the position. That’s how life sometimes is, it’s not really fair but it was the situation.