Liverpool beat Everton 4-1 but their title rivals managed to pick up wins of their own to keep the top three in the same position as it was before kick-off.
Everton welcomed their city rivals to Goodison Park with a hostile atmosphere, but it did nothing for their chances of victory and they were once again soundly beaten.
Meanwhile, Chelsea and Manchester City were both pushed all the way to the 90th minute by Watford and Aston Villa respectively.
Pep Guardiola’s side could have drawn 2-2 in the final stages of their match at Villa Park as the home side had two big chances but they failed to punish the Sky Blues.
Chelsea meanwhile had a bit more control in their game but Watford made life difficult for the league leaders and, after they equalised to make it 1-1, the score stayed that way until the midway point of the second half when Hakim Ziyech scored the winner.
Speaking to the Liverpool Echo, Andy Robertson, who joined the club for £10m in 2018, has acknowledged that Liverpool need to continue performing at a high level to wait for their chance to punish their rivals and leapfrog them in the league table.
He said: “The beauty of the Premier League is that there are no easy games and I think straight away after the derby, it’s a very quick turnaround. The thinking now is all about the next game and then one after that and the one after that.
“Chelsea and City both won their games in midweek, as tight as they were, and we’re still behind. So we need to keep pushing and make sure that they know they need to win every single game. As long as we keep doing that then I believe we’ll be there or thereabouts.
“We want to stick with them and obviously Chelsea and Man City are in good moments too. They are not looking like dropping points but if they do drop points, we need to be ready to capitalise.”