The agreement, according to Barca, is contingent on the 23-year-old passing a medical exam.
Since his debut in 2021, Kounde has earned 11 France caps. Kounde was reportedly linked to a transfer to Chelsea.
The defender joined Sevilla in 2019 from Bordeaux and has since made 133 appearances, winning the Europa League in his first year.
He also started in the Nations League championship game between France and Spain, which France won 2-1.
Following the arrivals of Brazil winger Raphinha from Leeds in a £55 million deal and Poland striker Robert Lewandowski from Bayern Munich for £42.6 million, Kounde will soon be at the Nou Camp.
Franck Kessie of the Ivory Coast and Andreas Christensen of Denmark, free agents from Chelsea and AC Milan, have also joined boss Xavi’s team, along with France’s Ousmane Dembele, who has extended his contract.