Massimiliano Allegri has committed his future to Milan despite suggestions of a summer move to Roma.
The Giallorossi are looking for a new tactician after sacking Zdenek Zeman on Saturday after an inconsistent campaign.
“The interest of a great club like Roma is pleasing and it shows an appreciation for my work,” the tactician told the Messaggero.
“I’m honoured, but I’m also happy at Milan.”
The former Cagliari boss, who won the Scudetto in his first season at San Siro, is contracted to the Diavolo until June 2014.
Milan Vice-President Adriano Galliani this week confirmed Allegri for the 2013-14 campaign when questioned on the Giallorossi rumours.
“He’s a good tactician and we’ve always known that,” Galliani noted. “He reminds me of Carlo Ancelotti, for how balanced he is.
“Roma can’t steal Coaches from other clubs. He will still be the Milan boss next season.
“Milan were right to not make a coaching change when things were difficult this season. Other clubs would not have done the same.
“We’re climbing back up the table and fighting for the positions that we always have done. We’re now travelling at our pace from the last two seasons.”
Think you know your Italian football? Share your knowledge, tips and comments to win cash prizes in OLBG's tipster competition  - £11,000 to be won monthly!