As the Reds prepare to take on League One Exeter City away tomorrow night - their first time in the Carling Cup's second round in 12 years - Carragher has targeted domestic glory for the Merseysiders.
"Exeter is a massive game for us. We haven't been in the Carling Cup at this stage for a long time," he told the club's official website.
"There's no Europe this season so everybody at the club is determined to do as well as we can in the domestic cups.
"We need to make sure we get through that tie before even thinking about the next game against Bolton."