The 19-year-old is a request of incoming German manager Ralf Rangnick, who knows the midfielder well.
Rangnick is playing an important role in Milan’s pursuit of Szoboszlai, considered one of Europe’s best 2000-born players.
Szoboszlai and his camp would like his development to continue under the guidance of the ‘Professor’.
The Rossoneri have been working on a deal for two months and believe their efforts are bearing fruit.
Milan accelerate talks
In recent hours, Milan have stepped up contacts with Szoboszlai’s agent Matyas Esterhazy to try and reach an understanding.
Ivan Gazidis, Milan’s chief executive, has already approved the operation on both a sporting and financial level.
Salzburg won their seventh Austrian Bundesliga title in a row on Sunday with Szoboszlai in the starting eleven.
The Red Bull club are noted for their development of young players who then go on to bigger things.
They have earned over €300m from selling the likes of Sadio Mane, Takumi Minamino and Erling Haaland since 2013.
Along with Szoboszlai, Leipzig-linked Hwang Hee-chan and free-scoring Patson Daka could soon follow the well-trodden path to Europe’s top leagues.