The young Switzerland midfielder is a priority signing for the Rossonero, which have already had two offers turned down by Brugge.
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Now TMW says Brugge have let it be known that Jashari can leave for €41m.
For his part, Jashari wants to see the move happen after Milan's last offer of €33.5m plus €2m in bonuses.
Neom SC have made a bid themselves for Jashiri, but the youngster remains hopeful of seeing Milan and Brugge reach terms.