Kyrgios was fined £93,000 after being charged with five offences for his actions during the defeat to Karen Khachanov.
The Australian called umpire Fergus Murphy “a tool” and smashed two rackets in the corridor after leaving the court without permission.
The ATP are investigating to see if there should be any further repercussion, such as a suspension from the tour.
And Djokovic refused to give his opinion as he feels it should be left up to authorities to deal with.
“It’s more of a decision of, I think, combined between ATP and the tournament, I think, depending on the severity of the behaviour of the player,” Djokovic said.
“So it’s tough to really judge, to say what’s right, what’s wrong, whether it should be more or less.
“The match was, I thought, a great quality match in terms of tennis for a couple of sets. And then Khachanov just was tougher in the end.”
Federer was knocked out of the Cincinnati Masters with a surprise defeat to Andrey Rublev last night.
And he was in no mood to discuss Kyrgios’ antics afterwards.
“I’m not going to comment on it because I’m just not really in the mood,” he said.
Meanwhile, world No 1 Djokovic is chairman of the player council and believes it is his business to keep an eye on such incidents.
“Of course I do follow what’s going on,” the Serbian said.
“Not every match, not every court, not everything, because I also have a life off the tennis court, as well, and things that interest me.
“Of course I follow it. It’s part of me, part of my life, part of my career. I also enjoy it.
“But I also have the responsibility to follow because of my role in the council.”