Swallows initially announced only one player had tested positive for coronavirus after all staff and players were tested this week.
Dube Birds boss David Mogashoa has now confirmed the two extra cases in their camp.
"I want to put it clear that there were three cases in total and we are giving all the support to our players," Mogashoa tells snl24.com/kickoff.
"The doctor's report remains confidential to the players. We can't reveal their names to avoid them and their families being stigmatised with the virus."
TS Sporting is another GladAfrica Championship team that have come out to confirm one case of Covid-19, while three players at TS Galaxy have been infected.
— TS SPORTING FC (@TSSportingFC) June 26, 2020