The centre-back was signed by the Rossoneri on loan in January with the option to buy for £26m in the summer.
Tomori has already appeared seven times for the Serie A giants and the club are open to the prospect of a permanent deal.
According to Tuttomercatoweb, Stefano Pioli's side consider the transfer fee as very high and will look to negotiate the price with the Blues' hierarchy.
It is unclear whether the west London giants will agree to the proposal as the defender may have the chance of reviving his Blues career.
The German has offered playing time to fringe players in order to prove themselves and there could be an opening for Tomori next term.
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