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Pato, who has scored 14 league goals this season, agreed with his teammate. "This is a special day, and it's the first time that I have celebrated a Scudetto win," said the 21-year-old striker.
Defender Alessandro Nesta, 35, added: "We have been on top for virtually the whole season and we have a good lead so I think we really deserve this title, and we should give most of the credit to Zlatan Ibrahimovic and Thiago Silva."
Saturday's result moved AC Milan nine points clear of second-placed Inter, who have three games remaining - but even if Milan were to lose their two remaining games and Inter claimed full points, Massimiliano Allegri's side have the superior head-to-head record.
Milan's top scorer this season, Zlatan Ibrahimovic, made his comeback after a three-match suspension for the Roma game, but he could not add to his tally of 14 league goals as the sides played out a 0-0 draw at Rome's Stadio Olimpico.
Elsewhere on Saturday, Palermo prepared for their Coppa Italia semi-final second-leg clash with Milan on Tuesday with a 2-1 win over the relegated Bari.
A goal from Simone Bentivoglio gave visitors Bari a surprise lead early on, but Palermo hit back through Fabrizio Miccoli and Cesare Bovo - and were good enough to hold on for the win despite a penalty miss from Miccoli after 65 minutes.