The decision was taken after the squad underwent a new round of Covid-19 testing on Monday.
In a statement, tournament organisers Six Nations Rugby said they remain in constant contact with the Fijian squad to address the situation.
"The main priority at present is the welfare of all players and management."
The Fiji squad, which includes 32 players and the management staff, is currently self-isolating in their hotel rooms at their tournament base in Saint-Galmier.
