France prop Mohamed Haouas and wing Gabin Villiere have followed scrum-half Antoine Dupont and coach Fabien Galthie in testing positive for coronavirus.
The Six Nations leaders, who have won two games from two in this year's tournament, are struggling to contain a COVID-19 outbreak in their camp.
Dupont, Galthie, forwards coach William Servat and another staff member returned positive tests earlier this week.
Following another round of testing, the French Rugby Federation (FFR) announced on its website on Saturday that Haouas and Villiere have also contracted the disease.
France's health minister Olivier Veran said on Thursday that anyone testing positive would now need to self-isolate for 10 days, instead of the previous seven.
All members of Les Blues' squad will be tested again on Sunday, the same day that a new 31-man training squad is to be named for next week's clash with Scotland in Paris.
Haouas, Villiere and Dupont started France's victories over Italy and Ireland, with the latter named player of the round in the opening set of fixtures.