The defending Premier League champions have endured a tough couple of months following a return of two victories in four games in the Premier League.
Norwich City were 3-2 winners against Manchester City at Carrow Road last month before Wolverhampton Wanderers were surprising 2-0 victors at The Etihad last weekend.
Liverpool FC have managed to preserve their 100 per cent record in the Premier League following a 2-1 victory over Leicester City at Anfield on Saturday evening.
Jurgen Klopp’s side have an eight-point lead at the top of the Premier League table following wins against Arsenal, Chelsea FC and Leicester City so far this term.
Liverpool FC will make the trip to bitter rivals Manchester United in their next Premier League outing on Sunday 20 October.
Former Reds defender Carragher challenged Liverpool FC to maintain their momentum ahead of a tough run of fixtures in the Premier League.
“I think what we are seeing with Man City now is they are being affected by injuries now in the same position and that’s a problem for them,” Carragher told talkSPORT.
“That’s a problem for anyone even though they have got a better squad than Liverpool and you see how much it is hurting them.
“You may actually think it would hurt Liverpool more if they injuries because, as I said, they don’t quite the squad City have.
“But to be fair, Man City have problems where they are weakest, at centre-back, in terms of numbers and quality.
“But there is no doubt a big injury to a big Liverpool player will severely hamper them. So that’s why I don’t think anyone really at Liverpool is getting too carried away.
“It is a great position to be in, there’s no doubt, and if you didn’t say that you would be a liar. And what Liverpool have to do is capitalise as much.
“And not just not think eight points is a great lead; try and make it 10, make it 12, if possible. Especially while City have problems at the back, like having Laporte out.
“Because there is no doubt that when Laporte is back and City back on their feet, they’re a team capable of doing exactly what Liverpool are doing and going and winning 17, 18 games.”
Liverpool FC will make the trip to Old Trafford in their next outing before the Reds welcome Tottenham Hotspur to Anfield on Sunday 27 October.
The Reds start November with a trip to Aston Villa before Manchester City make the short journey to Anfield on Sunday 10 November.
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