The veteran centre-back has missed Liverpool’s last two games due to a calf injury that he picked up in the Carling Cup clash with Stoke last month.
Carragher is hoping to make his return against Chelsea later this month.
“I’m coming along fine,” Carragher told the club’s official website. “I’m working with the physios this week and if things continue to go well the plan is to get back into full training at the start of next week.
“It was always going to be tight to be fit for the Swansea game last weekend and with a two-week break after that match there was no point doing anything silly. It’s important to ensure I get it 100 per cent right.
“Hopefully I’ll be available for the Chelsea game but I’m not thinking about games at this stage.
“My first target is just getting back on the training pitch with the lads and that should happen early next week.”
“It’s the first time I’ve ever had a muscle injury in my life,” added Carragher
“I suppose that’s not a bad record so I can’t complain too much. The good thing is it wasn’t a bad one and it has only kept me out for a short period.
“I was quite fortunate and it’s not something that should happen again.”
