"Young players at the club say, 'I have to be like Carra in training' because they can see that I put in a shift in every session," Carragher told The Times.
"But why should I rest on my laurels just because I have been in the top flight for so long?
"I am always looking to up my game because I feel that I still have something to prove. Even today some Liverpool fans are asking questions about my age and how long I will last.
"The club has just signed a new centre-back who will be knocking at the door. There is no room for complacency."
And the 33 year old is still hurting from the error against the Bolton, despite the fact it had no bearing on the result of the Anfield win.
Carragher added: "You could call it obsessive, but I have always agonised over my errors. My face hit the floor when the slip-up happened."
Meanwhile, Carragher, who still has two years remaining on his contract but has hinted that he may call it a day if the club decline the opportunity to extend it.
He said: "My contract is up for renewal in two years, but I would not want to play for any other club.
"Life is not just about money. There are other things, important things that have a different kind of value. Anyone from Liverpool could tell you that."