The 35-year-old's contract with AC Milan expires at the end of the season and Sam Allardyce's side are among those targeting a move for the Italian this summer
The 35-year-old, who has made 19 Serie A appearances this term, sees his contract at San Siro expire at the end of the season.
Ambrosini has made over 300 appearances for Milan since his arrival at the club in 1995 but his agent, Moreno Roggi, claims Sam Allardyce's side are among those who are targeting a move this summer.
"There is interest from West Ham and it's a real interest, like that of other English, German and American teams, although there have not been concrete contacts," Roggi told Calciomercato.it.
"But, like every year, the first thing Massimo will do at the end of the season is speak with [CEO] Adriano Galliani."