The Juventus defender believes his side's win over the Giallorossi on Sunday has killed off their hopes of winning the league this season
The champions' victory, which was sealed by Paulo Dybala's late strike, claimed an 11th consecutive league triumph for Massimiliano Allegri's team as they continue to push for a fifth straight title.
The Bianconeri remain just two points behind league leaders Napoli, while Roma are a further 10 off the pace, having won just one of their last 12 games in all competitions.
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And Chiellini feels the gap between Roma and the front-runners is now insurmountable, but he will not rule Fiorentina and Inter out of the battle to top the table.
"If Roma had got a result against us they would still have the chance to get back in, but now with a 10-point gap to us and 12 to Napoli, it would take a sporting miracle," he told Sky Italy.
"The other teams are very close together, so just about anything could happen. It is clear now that Napoli are a step ahead, they are in front of everyone who were touted as favourites.
"But to say Inter and Fiorentina are out of it seems wrong. Inter are a great team made up of great champions and Fiorentina can beat anyone with the enthusiasm they showed early in the season, but have lost slightly.
"If they can maintain that spirit for a long time they can cause problems for anyone."
As Juve's fine form continues, Chiellini believes it is getting more difficult to maintain and was impressed to see his side pick up another three points at the weekend.
"After 10 wins, it is increasingly difficult to keep winning," the 31-year-old added.
"The difficulty and calibre of the opponent, even if they are in a difficult period, gave us a hotter atmosphere in the stadium.
"We have found a good identity now, we can suffer and we can play. The team is working well."