The Rossoneri coach feels that his men still have a long way to go to reach their top form, but was quite satisfied with their performance on Tuesday evening
The Rossoneri have been struggling to find their best form in the opening months of the 2012-13 campaign, and although they have showed signs of improvement in recent weeks, the coach has insisted that they are not there just yet.
"We need to be more precise, we need to improve because sometimes we still make mistakes. However, the team are already doing better and we went for the win tonight," Allegri said at a press conference.
"All Champions League games are difficult. We had to keep a high tempo but of course when you play every three days that's not easy.
"The players had a good game and even though we made some mistakes in the second half I can't complain.
"We have to do better in Serie A and fight until the last game of the group in Europe."
Milan sit second in their section with five points from four games.