Arch-rivals Manchester United have blown nearly £50million in the same time.
But Carragher said: "It's still very early and I didn't expect too much to happen on the transfer front before now.
"Over the summer players, managers, chief executives and owners are all away on holiday.
"It's only the start of July and with pre-season getting going next week I'm sure things will soon start moving.
"You often find that one deal sets it off and everything happens from there.
"I'm sure it will kick off over the next few weeks and hopefully we'll get a couple more new faces in."