The Veteran midfielder of Real Madrid will become a member of the Rossonero after the club World Cup at the Rossonero.
During his Milan presentation today, Allegri was asked about the Ballon d'Or winner.
He said: “We are waiting for Modric to arrive … There is the Club World Cup, he will arrive in August, he is an important and extraordinary player who does not need an introduction.
“There is Modric, (Samual) Ricci, then (Ruben) Loftus-Cheek who in my opinion is a very important player. Then there is (Warren) Bondo, (Youssouf) Fofana … We have excellent players. We will play with the three midfielders, then depending on the characteristics we go to the field.”
Allegri was also asked about the interest of Milan in Juventus striker Dusan Vlahovic.
He added: “Dusan is a Juventus player. I can talk about the boy and say that he is an extraordinary person, I saw him young when he arrived from Fiorentina.”