The table-topping Reds will be crowned champions for the first time since 1990 if they win their remaining five games, and Carragher has claimed that the support could be the difference against City this weekend.
He told the Daily Mail: "Anfield is unique when it comes to generating atmosphere on special occasions. As a player, you try to block the noise out when the game begins but you are always conscious of the impact it can have and tomorrow could be a day to rival St Etienne in 1977 or Chelsea in 2005.
"I played in the latter game, the Champions League semi-final, and it was the most intense atmosphere I experienced.
"When Liverpool's fans build up a head of steam, they can influence the result of a game and that certainly happened against Chelsea nine years ago.
Brendan Rodgers's side have won their last nine games.