Carragher told The Sun: "We want to be in there fighting with six or seven games to go. We had a great start but we have dipped a bit and it's something we need to sort out.
"The Premier League, without doubt, is the priority.
"A lot of people question the manager on that because we've done well in the Champions League.
"But if you are nowhere in the league at Christmas it becomes the priority, the Champions League, if you're still involved in it.
"But if we're still in the Champions League and fighting for the title in February or March, the evidence will be there if we are prioritising the league more than that."