The Serbia international scored 21 Serie A goals during the 2020-21 season, while he has started the new campaign in impressive form, netting five times in four outings in all competitions.
Both Man City and Spurs were linked with the 21-year-old over the summer, and a recent report claimed that the English champions could reignite their interest in the winter window.
According to Calciomercato, Tottenham are also still firmly interested in the Serbian and could make a move at the start of 2022.
Spurs are thought to be keen to bring a new striker to the Tottenham Hotspur Stadium despite managing to keep Harry Kane over the summer amid firm interest from Man City.
Fiorentina are attempting to sign Vlahovic to a new contract, with the striker's current deal at his Italian club due to expire in June 2023.