De Bruyne and his family felt ill for around two weeks, but the Belgian international did not find out whether or not it was the virus.
“I am doing well, to be honest,” De Bruyne told Sky Sports on Friday.
“The first two weeks my family was sick so it was a little bit like up and down, but now they are all healthy.
“We don’t know if we had it (coronavirus) or not but I think we’re doing well now.”
With De Bruyne recovered, the midfielder is trying to keep as fit as he can while adhering to social distancing rules.
The Premier League is suspended indefinitely because of the pandemic, but there remains a chance play will resume this season.
“Well, the first two weeks was a little bit weird because I don’t know what’s going on,” De Bruyne said.
“Then I managed to get a treadmill. I was swimming a little bit because I’m lucky to have a pool downstairs.
“I was doing a couple of lengths but now mostly I’m doing a run and I would say every other day I would choose between swimming and doing some exercise, so I’m keeping fairly good for what we can on our own, I guess.”
Asked if City are sending through information and drills, he said: “They send us like a fairly big programme.
“I think at the beginning of lockdown some of the gym physios went to the club and made videos of what we can do, different types of exercises.
“But there’s a few things that I like to do, obviously it’s more the running and the swimming exercise.
“I do a little bit in-between but I’m not one for sitting like an hour or two hours in a gym.
“I get bored of doing stuff on my own anyway so I prefer to do running, where I keep busy for myself and listen to some podcasts and all that stuff.”
Download our app and read this and other great stories on the move. Available for Android and iOS.