The Rossoneri coach was relieved to have overcome Delio Rossi's men on Saturday and has defended match-winner Valter Birsa's performances for the club
The Rossoneri claimed just their second Serie A victory of the season thanks to Valter Birsa's fine strike just after half-time.
And, after a poor start to the season, the 46-year-old is delighted that his side have kept their first clean sheet of the campaign and has praised his players.
"We won a difficult and important game, as we needed this win after three matches with just two points," he told reporters after the game.
“We also kept our first clean sheet and ran few risks, aside from a header in the first half and some long-range shots we could’ve avoided.
“We had started fairly well and got to the byeline, but then had the final pass wrong. We started the second half much better and could’ve had a second goal while defending in an organised fashion.”
Allegri went on to praise Birsa's performance after the Slovenian scored his first goal for the club since joining the club from Genoa in the summer.
“He is a good player with good technique who had already played well against Bologna and Napoli. Obviously when the team loses then some players are likely to get blamed. He arrived from Genoa at the last moment and few knew him, but he can belong at Milan.
“I have a good squad at my disposal and we started badly in Serie A, but we are getting back on track. We’ll now prepare for the Champions League and then Juventus.”