The English Football League earlier said there were two positive cases out of more than 1,000 players and staff tested at the 24 second-tier clubs.
In a statement, Hull said the pair were asymptomatic and feeling no ill effects, but would self-isolate for seven days in line with EFL guidelines.
They will both be tested again at a later date.
The Tigers did not confirm whether the positive tests were from players or staff.
It comes after reports that Hull vice-chairman Ehab Allam wrote to the EFL twice to say the season should be voided.
