To which Bolt replied: "Because I'm fast. They can't catch me."
Bolt is aiming to do the 100m, 200m and 100m relay treble for an unprecedented third straight time.
Brazil has been the epicentre of the outbreak of the mosquito-borne disease, which is blamed for birth defects in babies born to women infected with the virus.
As well as causing the birth defect microcephaly in babies born to women infected with the virus, it has also been linked to the rare but serious neurological disorder Guillain-Barre Syndrome.
Last week, the World Health Organisation advised pregnant women not to travel to Rio and urged athletes and visitors to take precautions to avoid infection by Zika.
- With AP