"At this moment in time we don't have a real centre-forward, so the midfielders pushing up are important," said Allegri.
"I do credit Ibrahimovic for his fantastic technique, but it seems almost normal for him. I also believe tonight the side showed real character, because the win came while under pressure.
"We never lost our concentration and were gritty right to the end. Ibra is someone who brings a lot to his teammates, but the whole squad has reached an important mental balance. Abbiati also made a couple of truly extraordinary saves tonight."
The Rossoneri are guaranteed to stay top of the table for another week after this result and are quickly becoming Scudetto favourites.
"There is Serie A and the Champions League. I am glad to note that the lads put in a strong performance every time, even when those who don't get as much playing time are called upon," added Allegri.
"I think Robinho is doing very well and in those moments when he goes out wide, the midfielders have to step up."