"People say you won't know what the vaccine did because it's the only experience I've had. But I tell you what, I had the vaccine and it worked as advertised," he added.
Earlier this month, the host revealed on social media that he had tested positive for the virus.
"So I was sick of friends saying they didn't know anyone with Covid. So I went and got Covid (not deliberately of course)," he joked.
"I am nearing the end of my quarantine and I feel absolutely fine. The worse it got was a mild cold."
"Not because the virus didn't have bad intentions but because science is brilliant and being fully immunised meant I had a whole bunch of vaxxy goodness protecting me. My family are safe and I am grateful," he added.
"I'll be back to work next week for an extremely viral Wednesday! Thank you, Science. I think I got a crush on you."
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Peter went on to praise healthcare workers for their tireless efforts throughout the pandemic.
"Also to all the health workers and services. Luckily I didn't need to go to hospital but everyone I spoke to on the phone were completely compassionate, professional, caring & incredibly patient," Peter said.
"The system is undoubtedly under a great deal of stress but they are doing a wonderful job."