The Bianconeri would utilise the Italian international at a right wing-back, but with Stephan Lichtsteiner being such a regular fixture in the side, it is a move that would make little sense.
Especially with the €12 million price tag reported, unless the Old Lady plan to sell Lichtsteiner in the near future.
Abate is often caught out defensively at right-back for Milan, but he's never been quite attack-minded enough to play in an advanced role in Massimiliano Allegri's 4-3-3.
As a right-midfielder, Abate would be perfect, especially in Juve's 3-5-2 system, so if Lichtsteiner's future is away from Turin, this move makes perfect sense for all.
I say all—Milan would be losing a quality operator, but they would be able to start using Mattia De Sciglio at right-back, his preferred role.