The Rossoneri are now just one point behind Serie A leaders Juve.
Boateng said: "We have closed the gap and our objective is to keep believing to the end. We deserve the Scudetto, despite the fact Juventus had a good season. It was a strange campaign and we played so many matches.
"I was on the bench when news filtered through that Lecce had equalised against Juve. The whole stadium just exploded. We won and they made a mistake.
"Their fixture list is easier now, but they have the pressure on their shoulders, because if they slip up again then we are ready."