Nocerino, who has 15 caps for Italy and played at Euro 2012, began his career at Juventus and also played more than 100 league games for Palermo.
He joined Milan in 2011 and scored 11 goals in his first season for the club but has only made 11 appearances in Serie A in the current campaign.
The 28-year-old could be in line for his West Ham debut away to Chelsea in the Premier League on Wednesday.
(Reporting by Martyn Herman, editing by Pritha Sarkar)
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