The midfielder is available from Chelsea and the Rossonero are in talks to sign the Morocco international.
Gazzetta dello Sport says Milan are negotiating with Chelsea over a loan fee for Ziyech.
Chelsea want €5m for a 12 month deal, though Milan are urging them to cut the price.
For his part, Ziyech is keen to see the deal happen as he seeks better playing chances after last season under manager Thomas Tuchel.
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