When it was announced he had the virus on 30 October, his spokesperson said at the time that he was fully vaccinated and had no symptoms.
Last year, Bryan came under fire after claiming "bat-eating" people had caused the coronavirus pandemic.
Lashing out after his three-night London residency was cancelled, he fumed: "Tonight was supposed to be the beginning of a tenancy of gigs at the @royalalberthall, but thanks to some f***ing bat eating, wet market animal selling, virus making greedy b*****ds, the whole world is now on hold, not to mention the thousands that have suffered or died from this virus.
"My message to them other than 'thanks a f**king lot' is go vegan."
He later apologised to anyone his remarks offended and insisted he was just having a "rant" about animal cruelty and trying to urge people to try a plant-based diet.
He wrote on Instagram alongside a clip of himself singing 'Into the Fire': "Apologies to any and all that took offence to my posting yesterday.
"No excuse, I just wanted to have a rant about the horrible animal cruelty in these wet-markets being the possible source of the virus, and promote veganism.
"I have love for all people and my thoughts are with everyone dealing with this pandemic around the world."