Carragher has been struggling with a groin problem since the clash with Arsenal last week.
Yossi Benayoun is also back in training for the Reds.
“Carra is training again and he will be available, which is very good news for us as he is an important player for us,” said manager Rafael Benitez.
“Yossi is training with the team. He still has a problem with his rib but at least he is training. We will decide about him on Thursday.”
