Only Lucas Leiva and Luis Suarez will miss the start of this pre-season due to their involvement in the Copa America and Carragher believes the lack of disruption will have a positive impact on the Reds this time around.
"It's going to be great to have most of the players around from the start of pre-season," Carragher told liverpoolfc.tv.
"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."