The retired midfielder has revealed he and several team-mates were approached to throw a game against Marseille in return for money 22 years ago
The Serbian club went on to triumph 5-3 on penalties in Bari 22 years ago, but, according to Savicevic, only after several players had been approached by unnamed figures in their hotel rooms on the eve of the clash.
"It's not a secret," he said in a telephone interview with Associated Press. "I have been saying this for a while and I have never denied it: 500,000 marks was offered to us.
"We refused it because it is not in our character. Everyone knows it ... ask [goalkeeper Stevan] Stojanovic, or [midfielder] Robert Prosinecki."
The former midfielder, who is now head of Montenegro's football association, went on to lift the Champions League for a second time with AC Milan in 1994.
Marseille, meanwhile, won the Champions League in its inaugural season in 1992-93, but had their Ligue 1 title stripped from them amid a match-fixing scandal.