The 29-year-old will be a free agent at the end of the season, and he is unlikely to sign a new deal with the Italian club.
SL View: Superb bargain move for both clubs
Spurs could definitely use more defensive depth, especially with Davinson Sanchez failing to impress Mourinho this season.
Toby Alderweireld is in the twilight of his career, while Japhet Tanganga and Joe Rodon are quite inexperienced.
The 25-cap Serbian international could be a useful option for Mourinho next season, and signing him on a free transfer should be a no-brainer.
Similarly, David Moyes could use Maksimovic alongside the likes of Issa Diop, Craig Dawson and Angelo Ogbonna next season.
The Hammers have a great opportunity to secure European football, and they will need a deeper squad to compete on all fronts.
Maksimovic has the quality and the experience to improve West Ham’s defence, and he could prove to be a super bargain for whoever secures his services.
The 29-year-old is likely to demand regular first-team football from his suitors, which could be the main deciding factor behind his transfer this summer.