In 1995 Jugović was purchased from Sampdoria by Juventus, whose coach at the time was Marcello Lippi. In his first season, Juventus finished as runners-up in Serie A. In the 1996 UEFA Champions League Final, he came on as a substitute for Antonio Conte and scored the decisive penalty for Juventus against Ajax, following a 1–1 draw after extra-time. In a 2017 interview with "Goal.com", he recalled that he felt calm before taking his penalty against Ajax keeper Edwin van der Sar. After his role in their Champions League victory, Jugović played for Juventus for one more season, during which he featured in the 1996 Intercontinental Cup, which Juventus won 1–0 over Riverplate. That season, Juventus went on to win the 1996–97 Serie A title, after which Jugović left for Lazio. In total, he made 77 appearances for the Turin–based club, scoring 10 goals.