Mané missed the decisive penalty in a 5-4 shootout loss to Cameroon as the Lions of Teranga exited surprisingly at the quarter-final stage.
Liverpool's efforts to get Sadio Mane home from the African Nations Cup as quickly as possible were frustrated by red tape to further complicate his availability for Tuesday's crucial game at home to Chelsea.
And Liverpool's owners, have arranged for a private jet to fly Mane back from Gabon in time for the Premier League clash with Chelsea on Tuesday.
Liverpool have only won one of their last eight matches (D3, L4) in all competitions, losing their last three in a row.
Liverpool are now fourth in the Premier League table on 45 points - 10 behind league leaders Chelsea.
Another defeat would be crushing for Klopp and his players, and so the need for Mane, who has been a revelation at Anfield since his summer switch from Southampton, is evident. "I have to look in his eyes, see whatever is possible with him and then make a decision". "We can't force it".
"But for us three points and getting back in a positive way is very, very important".
Pro Bowl: NFL picks six replacements for Super Bowl-bound Falcons
Davis will retake the field Sunday night for the 2016 Pro Bowl at Camping World Stadium at his usual linebacker position. The drone drop, which seemed like it would be fairly rote and easy, was far more entertaining than I anticipated.
"I don't know exactly (when he will be available)", said Klopp.
"In this moment, I have no idea". Yesterday he made a running session with Andy Kornmayer [fitness coach], so it's about adapting more and more to the pain he obviously has.
"A lot of people are thinking at the moment it is hard for Liverpool - and it is hard - but not impossible", he said.
However, the Blues boss was also quick to point out that there remains a lot of hard work ahead before that target can be reached.
"I watched them at Leicester, without Diego Costa, and thought their performance had a hallmark of champions".
"If they inflict more misery on Liverpool, you feel the title will be theirs to lose". "And we can win the next game". They shared one victory each, but United advanced on aggregate.