Were Higuain to be receptive to the deal then Milan would open talks with Juventus over a proposed £53.5m switch.
Juve appear open to selling their star striker, especially after the £105m capture of Cristiano Ronaldo from Real Madrid earlier this summer.
The club need to sell in order to cover the cost of that deal, with Miralem Pjanic and Paulo Dybala also mooted with exits.
It is claimed Juventus general manager Giuseppe Marotta has spoken to incoming Milan director Leonardo about a deal for Higuain.
There was a proposal for Chelsea to swap Alvaro Morata for Higuain in this transfer window but that deal is far from taking place.
As for Milan, they were given a reprieve by the Court of Arbitration for Sport last week when their appeal against a two-year European ban by UEFA for breaching Financial Fair Play rules was knocked upheld.
CAS have told UEFA to reconsider their ruling, meaning Milan are expected to play in the Europa League this season.
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Chelsea transfer news: Gonzalo Higuain could be sold for around £53.5m (Image: GETTY)
Chelsea transfer news: Gonzalo Higuain has a good relationship with Blues boss Maurizio Sarri (Image: GETTY)
However, the club remain in difficult times off the pitch after their Chinese owners failed to pay an instalment to the club, which handed control over to an American group Elliott Management.
Milan spent £150m on new players last summer and finished sixth in Serie A.