Henderson has been absent for the past eight games after picking up the injury in a routine challenge in training, undermining an initially optimistic diagnosis.
But with five games left to play this season, his return would be a boost to Liverpool’s top-four hopes, particularly given his excellent performances in the first half of the season.
However, speaking ahead of the Reds’ clash with Crystal Palace on Thursday morning, Klopp revealed it was unsure whether he would be fit to make his comeback between now and May.
“Still nothing new [on Henderson]. I don’t know, we will see,” he told reporters at Melwood.
“In this moment he cannot really train. We have to wait for this moment, if there’s something else to say about this I would ay.
“We are in intense talks with different departments, but we have to wait.
“He is already not patient anymore. It’s not cool.
“He looks really healthy actually, but he cannot play football, that’s the situation.”