Jurgen Klopp did sign midfielders Naby Keita and Fabinho in the summer. However, Carragher believes the Reds are missing something different in attack and has suggested the club should buy a player similar to Manchester City's Kevin De Bruyne or David Silva.
"We need a bit more quality in midfield, I think. That's all. Maybe he'll revisit that in January," the former Reds defender told This is Anfield .
"I just look at that midfield and I think we're missing that Coutinho type of player. Obviously, we went in for [Nabil] Fekir, so we're obviously looking for someone like that.
"We're trying to compete with City, and I look and they've got De Bruyne and Silva in there. I don't think we've got that sort of player.
"We've got different types of players and we don't play the same as them. But, now and again at Anfield, you're going to need someone to open up teams and do something a little bit clever.
"That's my only worry with this squad, but besides that, I think this could be Liverpool's greatest squad for the last 30 years."