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They were filming Baz Luhrmann's as-yet-untitled Elvis film at the time, but were then forced to go to briefly to hospital, then into two weeks of isolation following their positive tests.
The two actors then returned to the USA after their recovery.
Speaking on The Late Show with Stephen Colbert, Hanks described how his symptoms were completely different to his wife's.
After their host joked about how they were the 'first famous people' to catch the illness, Hanks added: "We had no idea how it could have happened, where it could have happened."
He explained how Wilson experienced a loss of smell and taste, coupled with a high fever and headaches, whereas his bones 'felt like they were made of soda crackers' and he became very fatigued and sore.
It took the pair eight or nine days to get over the virus.
In an interview with The Guardian earlier this month, Hanks described himself and Wilson as 'the celebrity canaries in the coalmine of all things Covid-19'.
He explained: "Oh no, we're fine. Our discomfort because of the virus was pretty much done in two weeks and we had very different reactions, and that was odd.
"My wife lost her sense of taste and smell, she had severe nausea, she had a much higher fever than I did. I just had crippling body aches, I was very fatigued all the time and I couldn't concentrate on anything for more than about 12 minutes."
However, he added: "That last bit is kinda like my natural state anyway."
Hanks continued: "When we were in the hospital, I said: 'I'm 63, I have type 2 diabetes, I had a stent in my heart - am I a red flag case?'
"But as long as our temperatures did not spike, and our lungs did not fill up with something that looked like pneumonia, they were not worried.
"I'm not one who wakes up in the morning wondering if I'm going to see the end of the day or not. I'm pretty calm about that."
Hanks was talking to Colbert about his role in Greyhound, which is available to watch on Apple TV.
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