The centre-back has remained behind to maintain his rehabilitation programme for the issue sustained against Wolverhampton Wanderers on January 7.
Klopp told Liverpoolfc.com in Spain: “Dejan is not here and Joe [Gomez] is not here.
“That’s never a good sign, I would say, but we will try everything to make Dejan available for Munich. It will be a tight race.
“For him, it makes sense in the moment to be in another place to do what he has to do. It wouldn’t have helped if he was here, so we will try everything – that’s clear.”