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
MatchThe opposition lowdown: Southampton
Interview'We can't take our foot off the gas' - Caoimhin Kelleher previews Southampton v Liverpool
Play nowCaoimhin Kelleher birthday quiz: Can you get 9/9?
FeatureClinical Harvey, Robbo's 'bullet' and Danns shock - things spotted in Friday's training
MatchSouthampton v Liverpool: Team news