The midfielder sustained the issue – a high-grade adductor injury – during the semi-final first leg against FC Barcelona at Camp Nou and initial diagnosis suggested he was facing up to eight weeks out of action.
Keita has travelled to Liverpool’s training camp in Marbella, but is continuing his specialised recovery programme with the club’s medical team.
Klopp told Liverpoolfc.com: “Naby is, I would say, a bit ahead of schedule, but that doesn’t mean anything for the final. He is now doing straight runs and all of that stuff, he feels comfortable with 50 per cent intensity and these things – but there is still a way to go.