The Viola climbed to joint-third place after crushing Atalanta 4-1.
Montella smiled: "Are we in the running for the Scudetto? It's wonderful to see the fans dream, but we have to continue growing gradually the way that we are. We mustn't kid ourselves, though.
"It is good to have ambition and maintain our convictions. We are proving that we know how to interpret matches and only suffered for 10 minutes when we took our foot off the gas.
"I was glad to see that mentality of wanting the victory at all costs."