Last season’s top two are four points clear at the top of the table but Allegri believes other can challenge.
“It is too soon to speak about a direct contest between us and Roma.” Allegri told Rai Due.
“For sure it is going to be a great championship, but not only between us and the Giallorossi.
“There will also be Inter and other teams in the fight.
“I like the attitude of Roma, the players and the quality they possess.”
Allegri went on to talk about his side’s comfortable 3-0 win over Cesena at the Juventus Stadium.
“It was a great performance from the whole team.,” he continued.
“When you win and have a performance like this you must give credit to everyone.
“Giovinco had a good game, especially because it has been so long since he played 90 minutes.
“The atmosphere in the stadium was great. The fans are very close and never stop to helping the team.
“Now we look forward to our games in Bergamo and Madrid.”
Follow Richard Hinman on Twitter: @RichardHinman