Mauro Tassotti has been assured of his role at AC Milan.
Tassotti has been assistant coach under Leonardo and Carlo Ancelotti.
Adriano Galliani, the Milan vice-president, said: "If he wants to, Tassotti can remain in his position even with Allegri's arrival. It is up to him to decide.
"Mauri has been at Milan for 30 years and if it were up to the club, he would stay for another 30.
"Galli has done excellent work with our youth sector, which is where he will remain next season as well."