Carragher insists they will not be satisfied with second place, behind Manchester United.
“There are still a lot of games to go so it’s important everyone at the club remains calm,” Carragher said in the Daily Express.
“United have got a bit of a lead on us at the moment, but if we can close that gap before we go to Old Trafford that would put us in a great position, especially if we are in form at the time of that game.
“A lot of people said at the start of the season that we needed to be in the title race at the end and at the very least be in with a fighting chance.
“We finished fourth last season, but we have risen to the challenge by overtaking Chelsea and Arsenal.
“Even though everyone at the club understands that it is not over by a long way, at the moment it looks as if it is going to be between us and Manchester United for the title.
“Overtaking Chelsea and Arsenal in the race is an achievement in itself already, and everyone should be proud of that.
“Now, hopefully, we can go one step further and win this title.”