Los Blancos are currently being strongly linked with the 22-year-old, who has scored 11 times in 33 appearances for Lazio during the 2017-18 campaign.
Tare recently claimed that Lazio had rejected a bid of £62m for the Serbia international last summer, and the club's director has played down suggestions that Madrid have already been in contact over a move.
"We have not received any calls from Florentino Perez or any Madrid officials," Marca quotes Tare as saying. "This is a situation which we will discuss at the end of the season, that will be the time to evaluate the position and analyse bids for any players."
Manchester United, Paris Saint-Germain and Juventus are also all believed to be interested in Milinkovic-Savic.