Rather than take Ibrahimovic on a short-term loan in January, TMW says Milan chief Leonardo wants to sign the Swede outright.
A six-month contract worth €1.5m is on the table, with the option for a longer arrangement should Milan qualify for next season's Champions League.
At 37, Leonardo is banking on Galaxy granting Ibrahimovic a free transfer rather than having to spend on a fee to take him away from the US.
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