The England international recently resumed light training following a spell on the sidelines, but Reds boss Brendan Rodgers is unwilling to rush him back for the sake of one game.
"We wouldn't rush him back because of one game. Unless he's fit enough to produce for us then I wouldn't rush it," The Mirror quotes Rodgers as saying.
"He does have a chance for the derby, yes. It's just how the injury has responded and he's working well but we'll know more early next week. He's out on the field and he'll be back in full training at the beginning of next week."
The Merseyside derby takes place at Anfield a week on Sunday.