The Reds moved to within a point of Man Utd with Sunday's 5-0 win over Aston Villa. As we enter the home stretch, Carragher says Liverpool can now cope with the added pressure of challenging for the Premiership.
"We are maturing and getting used to the demands of fighting for a title," said the defender.
"We were there earlier in the season but, having not been in that position before, maybe we didn't know how to deal with it.
"We've probably found it difficult a few times this season to cope with that.
"We're well aware that the title is in Manchester United's hands, but we're trying to put them under as much pressure as possible."