Keita missed Saturday's defeat at Watford due to a minor hip injury and will remain sidelined for the trip to Chelsea on Tuesday night in the fifth round of the FA Cup.
Discussing the No.8's fitness, Klopp told reporters: "A little, little, little bit but enough with his hip. I can't really say more, that's the only information I got from the medical department.
"[He] is not ready [but] could be ready after that game, but for that game not. It's not serious but obviously serious enough."