They include daily curfews from 5pm to 5am on weekdays and more stringent ones at weekends, lasting around the clock from Friday afternoon until Monday morning.
Serbia has registered over 9 000 confirmed cases and 189 deaths related to the virus.
Champions Red Star lead the standings on 69 points from 26 games, 11 more than city rivals Partizan.
Milosevic is confident soccer will quickly find its feet once competitive matches resume.
“The game is largely independent budget-wise and I believe it will get back to normal relatively quickly, as television broadcasters will insist,” he said.
“But the reason it might not hit the ground running is that players need time to get back to full fitness.”