Manchester City and Juventus have reportedly shown interest in Montenegro international Jovetic, who has scored eight goals in 14 appearances this season.
The 22-year-old opted to stay following promises made by Fiorentina president Andrea Della Valle over strengthening the team.
La Viola have signed former Manchester United striker Rossi from Villarreal, but with a long-term cruciate injury likely to keep Rossi out of action for another two months, it seems that Jovetic is still part of their plans.
Fiorentina sporting director Daniele Prade reiterated his club's stance at the press conference to unveil Rossi's arrival, saying: "Giuseppe Rossi is our future, as well as our team. But it is not the case to think that the arrival Rossi opens the door to a possible sale of Jovetic.
"Rossi is an investment in the medium to long term to strengthen the team."