Coutinho is reportedly set to miss Saturday’s clash, and is also a doubt the Reds’ upcoming games against Maribor (November 1) and West Ham (November 4).
But speaking at Melwood on Friday afternoon, the 50-year-old said he is yet to rule Coutinho out of selection.
“It’s not clear in the moment,” he told reporters.
“Last week he had some back problems, then during the week it settled with treatment, so he was fit for the game.
“This week he has a little bit of a problem with the adductor. It’s not clear if he’s out for tomorrow.
“He didn’t train yesterday, that’s true, but that’s all for the moment.”
It seems unlikely that Coutinho will be fit, however, given he failed to train on Thursday, with the Reds due for just one further session before Saturday’s kickoff.
He is part of the Brazil squad for the November international break, with Tite’s side set to take on Japan and England, though his involvement may now come into doubt.
But if they are without Coutinho for at least one of those, Klopp has been dealt a major blow to his hopes.