Liverpool FC started Boxing Day with a four-point advantage at the top of the Premier League table thanks to a four successive top-flight victories.
Dejan Lovren broke the deadlock in the first half with a clinical finish to help Liverpool FC make a strong start at Anfield.
The Merseyside outfit doubled their lead in the second half when Mohamed Salah won a penalty and dispatched the resulting spot-kick.
Xherdan Shaqiri scored his third Premier League goal in three games before Fabinho polished off the win with a headed goal.
Manchester City took the lead against Leicester at King Power Stadium thanks to Bernardo Silva to help the Citizens make a strong start following a 3-2 loss to Crystal Palace at The Etihad last time out.
However, goals from Marc Albrighton and Ricardo Pereira sealed three points for Leicester to leave Manchester City with three losses in their last four games.
Liverpool FC are sitting at the top of the Premier League table and six points ahead of second-placed Tottenham, who are a point ahead of the defending champions.
Speaking to BBC Sport about the title race after Liverpool FC’s win, Klopp said:
“We had no idea about the Manchester City result until after the game. We play City soon – if I was them I would think there is only four points because we still have to play them, then we play Arsenal before then as well.
“The only thing that matters to us is the performance and keeping that level of performance. It’s good but that’s all. Tottenham are flying – they had a difficult summer but they are doing brilliant.
“We are on a good run as well. Chelsea will win, Arsenal will win, it will be a race until the final day
“But we are in it and that’s important. We’re just creating a basis for the rest of the season and the basis after the first part of the season is obviously a good one.”
Liverpool FC will make the trip to Manchester City in the Premier League on 3 January.
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