The Daily Mail reports that Spurs scouts have been watching the 17-year-old since last season.
Jovic has scored three goals in the first four games this season and is also being tracked by the likes of Arsenal, Chelsea, Ajax and Benfica.
Reports claim Red Star value the Serbia Under 18 international at around £6million.
Red Star director Zvezdan Terzic has previously compared Jovic with Radamel Falcao.
