Home Affairs Minister Peter Dutton, who is in isolation with his family after he was diagnosed with coronavirus, says has been advised he posed no risk to others during his recent trip to the White House and at a cabinet meeting this week.

Mr Dutton said on radio Saturday that he is "feeling much better" and is receiving "excellent care" at Royal Brisbane and Women's Hospital after testing positive to COVID-19.

He says his fever is gone and his temperature is down and his throat "probably still a bit sore".

"I have had asthma since I was a child, so they were a bit worried about that, but they think my lungs are clear. So all pretty good at the moment," Mr Dutton told Sydney radio 2GB.

He said he was immediately conscious of coronavirus because of the briefings he had received through the National Security Committee and through media reports.