City’s star striker Erling Haaland suffered from a lack of service, with the Norwegian missing out on apparently ill midfielder Kevin De Bruyne.
City dominated the first quarter of the match in trademark fashion, but failed to capitalize on any chances against a well-drilled and structured home side.
“At the end, we were a bit nervous, the coach told us to calm down, there are 90 minutes left to play,” Mahrez said.
Leipzig coach Marco Rose said: “Two very, very different halves. We didn’t do that in the first half, just chased the ball, were very bad when we had it. The second was quite different, we were better with the ball.” . . , won it better and played like we envisioned playing.”