Sky Sport Italia claim Franck Kessie already has his Barcelona medical and signed the contract, so his Milan experience will end on June 30.
The midfielder has refused to agree an extension at his current club and it has been clear for many months he was going to walk away as a free agent.
While Premier League and Ligue 1 clubs were interested, including Arsenal, Liverpool, Manchester United, Tottenham Hotspur and PSG, he would appear to be going towards Barcelona.
According to Sky Sport Italia transfer pundit Fabrizio Romano, Kessie was in Spain yesterday during the break for international duty for his medical tests with the Blaugrana staff.
The Ivory Coast international was passed fit and then signed the contract, believed to be worth €6.5m per season plus add-ons for four years.
That is roughly the same salary that Milan had proposed, but the difference is Kessie’s agent will receive a huge commission for brokering the transfer.