The No.9 was back on the Melwood training pitch with his teammates this week but is not 100 per cent and won't be in the squad to face Sam Allardyce's men.
Rafa Benitez told Liverpoolfc.tv: "He has been training with the team - not full training sessions but part of them. He's doing well but he will not be ready for this game.
"He could be ready for Fiorentina. He was doing some exercises with the team and with the football but it's too soon.
"Maybe next week it will be easier."