With Kevin De Bruyne in the side, you always have a great chance of winning the game and so it proved as the Belgian orchestrated the opening goal in stunning fashion.
The English champions needed some late heroics from goalkeeper Alisson Becker to preserve their unbeaten Premier League run at Anfield to 68 games as the Brazilian denied Bruno Fernandes and Paul Pogba.
United are three points clear of third placed Liverpool and two ahead of second placed Leicester.
But there was little feel of a seismic encounter as both teams largely played with the handbrake on at an empty and silent Anfield.
The dominance of last season is becoming a distant memory for the defending Premier League champions.
In the nine Premier League games the England defender has started this season, City have won eight and conceded just two goals.
However, there was some positive news for Klopp as a makeshift defence with midfielders Jordan Henderson and Fabinho paired together at centre-back held out for a clean sheet.
Despite that setback, Liverpool dominated a cautious first half with over 65 per cent of the possession.
Klopp has admitted that his team's lack of cutting edge in the final third has been a source of frustration in recent weeks, but he was pleased with their overall display against the Red Devils and has urged his players to maintain their focus amid a testing period.
It took United 34 minutes to have a shot and they nearly took the lead from it as Bruno Fernandes whipped his free-kick inches wide.
The second-half goal came just when Tottenham looked set for another shaky finish after David McGoldricks header reduced the deficit three minutes earlier following first-half goals from Serge Aurier and Harry Kane for Tottenham. It's not that we ignore the fact and just hope it will be good again.
Tottenham Hotspur's Tanguy Ndombele scores a spectacular goal in a win over Sheffield United.
The 24-year-old's fine form is a stark contrast to his struggles in his first season after arriving from Lyon, with Mourinho admitting the player had to change his mindset to get back on track.
We did that, but the only possibility we have is to create situations and be ready to fail and do it again.
Manager Jurgen Klopp insists he was happy with the performance as chances are still being created - they had 18 shots but only three were on target - and he is confident the goals will return.
"They are a good side and they have some injury problems but we didn't pounce on that", he said.
However, alongside the powerful presence of Dias, Stones has been a bedrock of City's revival in a 15-game unbeaten run that has taken them into second in the table and with the chance to go top should they win their game in hand over United.