The Moroccan winger wants to leave Chelsea after being sidelined to the fringes of the squad. He has only started two games for the Blues.
Milan who were interested in Ziyech last summer are expected to make another approach. However, their preference would be a six-month loan with an option to buy.
Armando Broja is another player on Milan's wishlist - but Chelsea have no desire to offload the player who has recently signed a long-term deal with the club.