Djokovic, Grigor Dimitrov, Borna Coric and Viktor Troicki all tested positive for COVID-19 after the Adria Tour and Kyrgios has since waged a running battle with some of those who played, including Alexander Zverev and Dominic Thiem, blasting their "stupidity" and risky behaviour.
The men are set to get back under way at the Western and Southern Open, a tune-up event for the US Open from August 20-28 in a quarantine environment without spectators at Flushing Meadows.
Reading an open letter on his video, Kyrgios said the global economy and tennis could rebuild, "but we can never recover lives lost".
"Let's take a breath here and remember what's important, which is health and safety as a community".
The Canberra native said he had no problem with the USTA putting on the US Open, and that if players wanted to go, that was up to them.
Nick Kyrgios will not be playing the US Open in NY. No one wants people to keep their jobs more than me.
"That's just so selfish".
Women's world No 1 and fellow Australian Ashleigh Barty was the first high profile name to withdraw from the US Open last week.
Kyrgios said in an Instagram post on Sunday that he had no problem with the United States Tennis Association proceeding with its plans to hold the tournament from August 31 to September 13.
But cases have been kept down in recent months, although there has been concern people visiting from other outbreak areas could raise New York COVID-19 levels.
He thanked those players who have been "observing the rules and acting selflessly", telling those who wish to participate in the upcoming US Open to play at their own risk, but confirming that he will not be competing.
"It hurts me at my core not to be out there, competing in one of the sport's greatest arenas, Arthur Ashe Stadium".
The top-ranked Novak Djokovic, world No. 2 Rafael Nadal and 23-time women's singles Grand Slam champion Serena Williams have all entered the Aug 20-28 Western & Southern Open in NY, which will serve as a tune-up for the US Open.
"But I'm sitting out for the people, for my Aussies, for the hundreds of thousands of Americans who have lost their lives, for all of you".