Seven senior players arrived during the summer and Carragher for one is excited.
"Normally when a new manager comes in you're building," he told Liverpoolfc.tv. "You take it one step at a time. Under Gerard Houllier and Rafa, even though we won the Champions League with Rafa, in terms of competing it seemed to take a couple of years before you felt like you were not far behind the top teams.
"Now, the way we've started, the way we finished last season and the players we've brought in, I'm not saying we're going to win the league but you feel as if we can give people a run for their money. It's only been six months.
"That's what makes it exciting for me. The quicker the better for me because I'm getting on!
"It's a great credit to the manager and staff, to the owners and Damien Comolli for changing things around and bringing in players. We've got rid of a few players now, I'm not sure how many, but there has been a lot of turnover of players and at the moment it looks like it is working.
"During some of the tough times it can feel like a million miles from where you want to be but at this moment we seem to be there and we want to stay there."