Naby Keita will cost Liverpool £52.75m after RB Leipzig finished sixth in the Bundesliga.
Liverpool agreed a deal to bring Keita to Anfield at the end of this season during the 2017 summer transfer window, but his price was dependent on Leipzig's final league position.
If the German club had secured Champions League football for a second successive season the price for Keita would have been £59m.
Had Leipzig dropped into seventh, or lower, they would have seen Keita's price reduced further to £48m.
Leipzig's 6-2 away win against Hertha Berlin on Saturday was enough to secure sixth spot in the Bundesliga and their place in next season's Europa League.
They finished two points ahead of seventh-placed Stuttgart, who beat champions Bayern Munich 4-1 at the Allianz Arena on the final day.
Keita made 39 appearances for Leipzig during his final season in Germany, scoring nine times and assisting seven goals.