Juventus failed to secure their tenth consecutive Serie A title and are currently in the hunt to qualify for next season’s Europe’s premier club competition as they sit fifth on the league table.
Vieri believes the Bianconeri’s failure to secure top four means Ronaldo and other big names will leave the Allianz Stadium this summer.
The Turin-based club must now win their remaining games in Serie A and hope that either AC Milan or Napoli drop points in order to finish in one of the Champions League places.
Juventus will be hosting newly-crowned Champions Inter Milan in the Serie A on Sunday and Vieri, who once played for the Nerazzurri between 1999 and 2005, believes Andrea Pirlo’s men will be beaten by the Milan side.
"For me, Inter will win in Turin and Juventus won’t play in the Champions League next season,” the 47-year-old told Bobo TV.
"Without Champions League football, Ronaldo will leave and many others will follow him, Juventus will face a severe financial crisis.
"It will be a dramatic failure and many players will leave."
Ronaldo has become the fastest player in Juventus' history to reach 100 goals for the club, with that mark hit in just 131 appearances.
The five-time Ballon d’Or winner has already been linked with a move away from Turin and it has been said that one of his former clubs are willing to re-sign him.