The 22-year-old joined the Rossoneri from Porto in the summer, for a fee believed to be worth in the region of €38 million (£33.6 million), and has enjoyed mixed fortunes at the San Siro thus far.
He has failed to score in 12 Serie A appearances for Millan, but he has managed to notch up six goals in six Europa League outings.
There have been strong rumours regarding the striker's future, with Wolves and Everton being linked with a move for the Portuguese, according to the Mirror.
It comes as perhaps somewhat of a surprise then to see BETVICTOR list West Ham as 8/1 outsiders to sign Silva, given the lack of any links reporting the east London outfit's interest in the Milan ace.
The list Wolves as even money favourites, ahead of Everton at 4/1.
David Moyes has openly admitted that he is keen on strengthening his midfield, so it is hard to believe that Silva features highly on his list of priorities, although the addition of another striker would be something for Hammers fans to get excited about.
With the January transfer window now very much in full swing, this will be one for West Ham fans just to keep an eye out for, even though Wolves and Everton lead the race to sign the Portugal international.