The Italian midfielder has insisted that the Rossoneri have not yet come knocking for his services, but admitted that he will most likely switch clubs in the summer
The 27-year-old will be free to sign for any club in the summer after refusing to sign an extension with the Viola, whom he joined in 2005.
Milan have been strongly tipped as Montolivo's next destination but the Italy international insists that he has not been approached by the Serie A champions.
"At the end of the season, it is very likely that I will leave Florence, albeit with great disappointment," the midfielder told children during a visit to the Meyer di Firenze paediatric hospital.
"There has not been any offer from Milan, I do not know what my future holds."
Fiorentina's No.18 has featured in 19 of his side's 22 Serie A games so far this season, scoring once.