Brendan Rodgers' side have scored just twice in three league matches - and both came in the 2-2 draw at home to Manchester City
The Reds' options up front have been stretched by the failure to find a replacement for Andy Carroll, who was loaned to West Ham 24 hours before the closure of the transfer window.
That has put additional pressure on Luis Suarez, who has yet to find a consistent goalscoring streak, and summer signing Fabio Borini.
Rodgers is conscious of the issue and has said previously he expects players in other positions to chip in and Agger agrees.
"Of course the lack of goals so far is a concern. You could see against Arsenal (Sunday's 2-0 defeat) that it wasn't only one player," said the Denmark international.
"It wasn't two players, it was three, four, five, six players who had chances, including myself.
"The chances are there and that's the most important thing, but we all need to start taking them."
Despite the club's worst opening three results since 1962 Agger is confident there is enough talent in the squad to turn things around and make Rodgers' first season in charge a success.
"I'm still upbeat about the quality in the group," he told the Liverpool Echo. "Everybody has to believe in it, otherwise they shouldn't be at a club like this.
"Nothing is easy to fix - not in football and not in life - but we are working on the manager's ideas every single day, so hopefully we can get better and better during the course of the season.
"We are trying everything we can and we have to get the best out of the squad that we have."
Fellow defender Glen Johnson accepts the senior players have to step up and show leadership to the less experienced members of the squad.
Teenager Raheem Sterling has been the real bright spot so far and Johnson said he had to be given the right support from his team-mates in order to be able to flourish.
"We've got a great bunch of lads and everyone makes everyone feel welcome," he told liverpoolfc.com.
"Raheem is 17-years-old but you make him feel like one of the lads because he is and he deserves to be here.
"It makes him feel more comfortable - and more comfortable when he's going into games, which is going to help him and the team.
"You have to encourage the young lads. When I first came through, I had people like Stuart Pearce and other big players helping me.
"Raheem is a fantastic player as it is, so if he keeps working hard and doing the right things, he's going to be a great player."