Allegri insisted the result was "a small step forward" for Milan and explained his choice of starting XI.
"I'd say we made a lot of technical mistakes in the first half. It's not an easy moment and of course the pressure is on to win every game," said the Coach.
"After the break the team found more courage and created some important scoring opportunities. We are using up some mental energy that with a victory would make things easier.
"We must continue working and improve on those aspects that need improving. I think getting tense and talking too much would not be helpful.