The Rossoneri are on the brink of securing the services two more players as they continue to reshuffle their squad in the summer transfer window
Italian sources suggest that Genoa paid Chievo €4 million to buy Acerbi out of his co-ownership deal to ship the 24-year-old out to Milan on a similar contract.
He will not be the only player making the trip to San Siro, though, as the Rossoneri have bolstered their midfield options with 25-year-old Constant.
The Guinea international, who joined Genoa from Chievo last summer, will sign for Milan on loan with a view to a permanent deal.
The Genoa duo, who will pass medicals with Milan in the coming days, will follow in the footsteps of Riccardo Montolivo and Bakaye Traore as the Rossoneri's signings for the new season.