"The Zika news has caused no end of concern if we're totally honest," Verill wrote in an article for Standard Issue magazine
"We're not ones to worry unnecessarily, but after more than 100 medical experts stressed the Games should be moved to prevent the disease from spreading, this was a huge factor in us choosing to stay put.
"We've also made the decision to have Greg's sperm frozen. We'd love to have more children and with research in its infancy, I wouldn't want to put myself in a situation which could have been prevented."
Cyclist Tejay van Garderen, as well as golfers Vijay Singh and Marc Leishman, have already pulled out of the Games due to risks associated with the virus.
American television presenter Savannah Guthrie also announced on Tuesday she is pregnant and consequently would be skipping the Games on doctors' advice.
Organisers continue to play down the risk Zika poses to the 500,000 people expected to attend the global event.
At an official Rio 2016 media briefing on Tuesday, it was repeated that the WHO have stated: "There is no public health justification for postponing or cancelling the Games."
Officials added that from 44 test events involving 7,000 athletes, 8,000 volunteers and 2,000 staff, there had been zero cases of Zika.