The transfer has proven a tricky one with the transfer demands of CSKA Moscow appearing to put the move on hold until the expiration of the player's contract.
But Milan vice-president Adriano Galliani has suggested on Monday that his eventual destination is likely to be the San Siro.
When asked if a deal to sign Honda was a little closer, Galliani told Sky Sport Italia: "Let's see. I'm pleased he's a Milan fan, he watched Milan when he was a kid. He will decide.
"If he joins he will take the No.22 jersey. I will know tomorrow (Tuesday) as there is a new meeting so we will see then."