The team's Autumn Nations Cup opener against Les Bleus was cancelled at the weekend after five players tested positive for the coronavirus.
Additional tests were carried out late last week after a player - understood to be centre Semi Radradra - returned a positive test last Tuesday.
Pacific Rugby Players CEO Aayden Clarke said the Fiji team took all the necessary precautions.
"What's happened inside the camp, although extremely unfortunate timing, is just a sample of what's happening in society at the moment," he said.