The Reds have struggled in the Premiership so far this season, and will hope that the win against Bordeaux on Wednesday, can help kick-start their season.
Carragher told Liverpool’s official website: “The boss has talked to us about our performances this season, and I have been saying the same thing myself – a lot of the players, including myself, have not been performing as well as we have the last few seasons.
“That has made it difficult for the new players to settle in quickly. The players who have been here a while have maybe not helped them to settle in by producing performances up to our own standards.
“We have got to look to ourselves, to find our own best levels, and now we have achieved a good away win at last I hope that everyone will see us back playing at our best, collectively and individually.
“We have been average at best so far. We had aspirations of challenging for the title before the season started and we’re a little bit behind where we want to be but there is still only a quarter of the season gone.
“United are flying at the moment and it is massive for us to go there and get something. People will start saying that if we lose we are out of it, that’s maybe too early for that.
“It’s a long way to go but the win in Bordeaux was a step in the right direction. We need more clean sheets, and there’s nowhere better to go and produce a top performance than at Manchester United.
“This season we have not done so well away, and we knew that we had to put that right in Europe before we went to Manchester United. We always accept that playing United is massive, so we needed a boost to our confidence before going there.”