The defender, who picked up the knock in the League Cup win over Stoke City, has missed the Reds’ last two matches.
“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."
He added, “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.”
The former England man says he is not worried about any recurrence of the injury.
“It's the first time I've ever had a muscle injury in my life,” he revealed. “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.”
Manager Kenny Dalglish will take Liverpool to Stamford Bridge on November 20.
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