NewsDarwin Nunez injury update ahead of Real Madrid
The No.27 was forced to leave the field of play in the second half of Saturday's 2-0 Premier League victory over Newcastle United, making him a doubt for the last-16 tie at Anfield.
Nunez, though, could yet be fit to face Los Blancos in L4 for the first leg of the knockout contest.
"There's a chance," Klopp told his pre-match press conference.
"From all the possible scenarios, apart from being absolutely nothing; that's not the case.
"We have to see how he can deal with the pain [and] when we know that, we make a decision."
Latest news
ReactionDominik Szoboszlai: We answered another question - we just have to keep going
NewsMohamed Salah becomes third Liverpool player to score 100 away goals
StreamWatch in full: Women's League Cup - Newcastle 1-6 Liverpool
Match reportMohamed Salah's late penalty earns Liverpool thrilling victory at Southampton
Match reportWomen's League Cup: Liverpool score six in victory at Newcastle