City had the flawless opportunity to end their awful run at Anfield but Mahrez, not particularly reliable from the spot, blazed his effort high into the stand.
It's another concern for Klopp, but he can at least take comfort from Liverpool's upcoming fixture list.
It certainly promises to be a fascinating encounter at the top of the Premier League table as Liverpool take on Manchester City at Anfield.
The 27-year-old has admitted that City's clash with Liverpool on Sunday will be the Citizens most hard challenge on the road this season. He is always up there scoring the most goals in the Premier League.
With Aguero off the pitch the responsibility was handed to Mahrez - after Jesus was seemingly told to stand down - but with Alisson going the right away he blazed over, making it three failures in his last six. Virgil van Dijk is, as per Glenn Murray and Troy Deeney's estimation, the standout central defender in England.
"But if it's an open game at Anfield, an open game against Liverpool, you don't even have one chance, not even one percent".
Jesus went down holding his face after a stray hand from Lovren but City's third penalty appeal also went unheard, while Sturridge's weak header was scooped up by Ederson as more half-chances came and went.
The Reds manager said: "I am fine".
Liverpool, who lost James Milner to a hamstring injury in the 29th minute, defeated City three times last season in all competitions and remained unbeaten at home against their title rivals since May 2003. One situation and they are alone in front of your goalie, or alone in the box and they shoot and score an easy goal. "A few times before these games, you say a few things and then realise obviously it could have been misunderstood, but then it's really important to say I really like and respect Pep and his staff". "For Salah it was the first one so we will see in seven or eight years", added the Manchester City manager.
The total of 109km distance covered was their joint-second-lowest of the season so far, but they made 129 high-intensity sprints - more than in any other game this season with the exception of last weekend's 1-1 draw with Chelsea.