The Rossoneri CEO has insisted that the former Cagliari boss will not be leaving San Siro, despite interest from Roma
The 45-year-old's position was reportedly under threat following a poor start to the season, but an upturn in fortunes saw him linked with a move to Roma, as revealed by Goal.com.
"Allegri? There is no problem, he is happy to stay at Milan and that is exactly where he’ll stay," Galliani told reporters.
"The poor start this season was not Allegri’s fault but was down to the work in progress."
Galliani has been outspoken in his comments regarding the club's defence this term, has insisted that he only meant that they had to perform better at the back to pick up silverware.
"Our defence? I simply commented that in Italy the league title is not won by the team that scores most but rather by the team that concedes least," he continued.
"In the last two seasons between us and Inter and us and Juventus that is how it went. The best defence won the title – it wasn't meant as a slight on our defence."