Initial fears of a lengthy lay-off were allayed and Watford was targeted as a potential comeback for the England forward, although only if he were able to train for the full week before the game.
Last week Klopp said: “Now we have 10 days, I would say, until we think about if he should play. That would be the Watford game maybe.
“If he can run in eight days and be ready for physical training.”
But having not returned to full training yet, it looks unlikely Sturridge will make the squad for Sunday. A return to matchday involvement the week later against Leicester City on Boxing Day will now be the target.
Mamadou Sakho’s return from injury is a boost for Klopp, with the Frenchman able to replace the now-injured Dejan Lovren.