British tabloid reports this morning suggested that Tottenham may make a move for the former England captain when the MLS season finishes in October.
Last month the Rossoneri struck a deal with the MLS side to extend the 33-year-old's short-term loan deal at the San Siro until the end of the Serie A campaign.
Becks in action: AC Milan midfielder Beckham shouts towards to referee Luca Bandi during the Serie A match against Torino at the San Siro
The clubs are also believed to have agreed a unique 'timeshare'agreement which will then see the England midfielder play for theGalaxy until the end of their season in November before returning toMilan next January.
And general manager Adriano Galliani today told the club's official website, www.acmilan.com: "Our agreement with the Galaxy is very clear.
"We obtained what we desired, which was to keep David until the end of the season. "Beckham has been a hugely important acquisition, crucial for us.
"We hope that Beckham will return to us in January but from here until the start of the winter transfer window he will definitely be in Los Angeles."
Beckham has made 13 league appearances for Carlo Ancelotti's side since joining on loan in January, and has already expressed his wish to return once the MLS season is over.
Tottenham boss Redknapp considering crazy quest to bring Beckham to Spurs - reportAC Milan and England superstar David Beckham tops football's rich list - againRock solid: Redknapp praises his defence as Spurs target Europa spotBag your own Arshavin: Six more stars to snare from Russia with loveTOTTENHAM HOTSPUR FC