Liverpool are in the quarter-finals of the competition having beaten Porto in the last-16.
They will go into Friday’s draw for the next round full of confidence with the likes of Mane, Mohamed Salah and Roberto Firmino firing in the goals.
Liverpool have found the net 106 times across all competitions this season, with that deadly trio contributing near to 70 of them.
And Mane sees no reason why Jurgen Klopp’s Reds cannot go all the way to Kiev and lift the trophy for the sixth time.
Mane said: “There are almost only top clubs left in the race.
“We are all aware that if you want to become a champion you must be champions
“We’ve got the quality to beat every team in the world. And we’ll try exactly that.
“Why should Liverpool not be on top in 2018? We want to win the Champions League. I am convinced we can do it for the first time since 2005.”
Liverpool’s most recent Champions League success was perhaps their most famous.
Rafael Benitez’s side were 3-0 down to AC Milan in the final in Istanbul before a superb second-half fightback saw them take the game to penalties.
Jerzy Dudek was Liverpool’s hero as the Anfield side lifted the trophy for a fantastic fifth time.
Liverpool have a rich history in the European Cup having also won the tournament four times between 1977 and 1984.