Liverpool defender Dan Agger admits the players must chip in with more goals.
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."