Milinkovic-Savic is one of the most highly sought after midfielders in Europe, with the likes of Manchester United, Paris Saint Germain and Juventus all keeping tabs on him.
The 25-year-old has a contract at the Stadio Olympico until the summer of 2024 and Lazio value him closer to €100m.
Despite the financial implications of the coronavirus pandemic set to significantly reduce any big money-spending in the next transfer window, Tare is adamant that Lazio will not be forced to lower their valuation of Milinkovic-Savic.
"We certainly don't need to sell right now," Tare told Sky Sport Italia.
"I think a lot will change on the transfer market, because the pandemic is a once-in-a-lifetime occurrence that transformed everything, so we have to be creative, but above all very clear on our planning for the present and future.
"I think that prices won't drop for first-rate players. Obviously for the medium and low-end players, there will be a downward trend.
"On Milinkovic-Savic, the boy's relationship with the city and Lazio will never die because there is a very strong bond that has grown over years.
"On the other hand, considering the situation, his wishes, everything we've talked about, every situation will be evaluated at the right time without any pressure, but above all for the good of both parties.
"If there is a possibility that satisfies the club and the player, it will be taken into consideration. If there is not, he is happy and we are very happy for him to stay."
Milinkovic-Savic made 25 Serie A appearances and scored four goals before Serie A was paused in March, with Lazio just a point behind leaders Juventus in the standings.
