The Senegalese forward has scored 13 times in 29 appearances for Klopp's team since joining from Southampton in the summer for a fee believed to be around £34 million (about $42 million).
Klopp did not come out to state Mane would not be playing for the remainder of the season, but has admitted it is possible.
"My job is to find solutions", the Liverpool manager said. We will still have young players in the squad, yes, but it gave a few young boys the opportunity to show themselves and that's good.
"I hope I can play a big part in the end of the season".
In the seven fixtures when he was away with Senegal, Liverpool lost four league games and went out of both Cups, in the space of 21 days.
"We want the same, we expect results from ourselves and we want to fight for everything".
In that respect, Bournemouth's visit to Anfield could be any more timely.
According to the Echo, Mane's injury is worse than first feared.
Liverpool Football Club are sweating over how long Sadio Mané could be out of action as a result of the knee injury he sustained against Everton at the weekend.
When asked if it could be a season-ending injury, Klopp said: "Unfortunately it is possible".
"But it was such a hard moment in January".
Eddie Howe: "We're excited by the game we've got coming up".
"Then missing Sadio in the shape he was, plus missing Phil, was not ideal". "I can say for sure he won't be available for tomorrow", Klopp told a news conference on Tuesday.
"But now it isn't about playing flawless football now, it's about getting results". But we can not say what it is exactly.
"You need all the players". We have the possibility to change formation.
'I said it already, with the problems we had in January and February, of course it was clear.
"Because we miss different options in the offensive line, it doesn't mean that we can not score goals". Do we miss Adam? Yes. "But they are not for this game because they are not here".
Klopp will also be unable to call upon Adam Lallana who suffered an injury during worldwide duty.
"Trent is a wonderful player".
"Now, you have to say that if they get into the top four this season, they will have had a great season because they do not have the budgets to compare to the Manchester clubs and Chelsea". As an offensive full-back, that's really good to see.