The Reds face Chelsea on Saturday in the FA Cup final.
Asked at a pre-match press conference whether the club's illustrious history added additional pressure heading into such a game, Carragher replied: "None.
"You just go out and play. You play for Liverpool. We're aware of the past but you don't think about that leading up to the game.
"I don't think it's been in anyone's thoughts. We've got a great history, we know that, and we want to keep that going.
"I don't think it's an added pressure – certainly not for me."