The Reds finished last campaign in solid fashion and after returning to pre-season training, Carragher is looking to be a part of a big off-season with the Merseyside club.
"We've had longer than usual off this year and I want to get started now," he said. "It's a new start and there's a new sense of optimism. It's going to be great to have most of the players around from the start of pre-season.
"Our form in the second half of last season was very good and we need to ensure we prepare well and get off to a decent start this season.
"That will make a big difference. It can be difficult with the preparations when everyone comes back in dribs and drabs.
"It's good for the manager to have everyone around and it means after a decent pre-season we should be ready to start the season.
"It will be great to see all the lads again and I'm sure there will be a few new faces coming in before the transfer window closes."