Carragher insisted putting silverware back in the cabinet at Anfield was important for the club's standing and for the players' confidence.
"We had gone five or six years before this season without a trophy and in that time we have had some great nights - European Champions League nights - but at the end of your career you want trophies to look back on as well," said the 34-year-old.
"We have one this season and if we get two, having been in three competitions, that will be a great season."
While not decrying the Carling Cup, Carragher admitted the FA Cup was another step up in prestige.
"Playing for Liverpool in a cup final is special but we realise playing in an FA Cup final is a bigger stage than the Carling Cup final," he added.
"It is fantastic for the club, supporters, manager and players. It is something to look forward to."