The fullback broke down while with Scotland during the week.
Klopp said: "I am not sure if Curtis (Jones) is available but he is in training. Ibrahima Konate (missing training) was an extra rest day, nothing else.
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"Andrew Robertson, we will take it day by day. He won't train today but it's not as bad, so that's fine. The other boys from next week on are step by step. We will see what we do with that. They aren't too far away, but they're not in yet.
"None are close to team training but they are all making their steps. It's a positive. Darwin Nunez is fine. He did his rehab during the week, trained first day partially, and since then he is in full training."