Chiesa was replaced in the 32nd minute as Juventus emerged 4-3 victors at the Stadio Olympico.
The 24-year-old was seen on crutches on Monday as he underwent tests as Juventus’ medical centre and the Old Lady has confirmed that Chiesa will need surgery on the injury.
“During yesterday's match, Federico Chiesa felt a blunt trauma sprain to his left knee,” Juve's statement said.
“The diagnostic tests performed this morning at J|Medical revealed an injury of the anterior cruciate ligament.
“It will be necessary for the player to undergo surgery in the next few days.”
Chiesa’s injury will come as bad news also for Italy manager Roberto Mancini.
The European champions will contest a FIFA World Cup qualifying play-off against North Macedonia in March, with the winner of that tie set to face either Portugal or Turkey for a place in Qatar.
Chiesa has made 18 appearances across all competitions for Juventus this season, scoring four goals and providing two assists.
The former Fiorentina star is upbeat about his setback though, posting on Instagram: “Thank you very much to all for the support messages. See you soon, on the pitch.”