The Brazilian has been out since the last week of November with an ankle knock suffered in a challenge with Sunderland’s Didier Ndong.
Klopp, speaking ahead of the Reds’ clash with Stoke on the 27th, was downbeat about his initial target of returning for the big game at Anfield on New Year’s Eve.
“Unfortunately we don’t have him back in training,” Klopp confirmed. “He makes his training [individually], there is no reason to think when he is back. There is no rush.
“We have to accept the more or less bigger steps in his improvement. It’s a serious injury, it’s still a decent injury, we need to wait.
“Whenever he is back he can help us. We cannot rush it though.”
Klopp then suggested Coutinho had a minor setback in the 24-year-old’s optimistic effort to return for the City game and that his hopes are all but over.
“He was in a very good way, then a reaction, but he’s in a good way again,” Klopp added.
“I don’t think it will be a long time. Everybody was thinking about the City game for example, this will be very unlikely. It was a dream of Phil’s.
“It’s not more likely than before, but I don’t want to say impossible.”