Mexican Sergio Perez, Canadian Lance Stroll, seven times world champion Lewis Hamilton, McLaren's Lando Norris and Ferrari's Charles Leclerc have all tested positive since the start of the pandemic.
Norris and Leclerc tested positive after also spending time in Dubai post-season.
Mercedes team boss Toto Wolff, Williams principal Simon Roberts and Aston Martin team owner Lawrence Stroll as well as Pirelli tyre boss Mario Isola also contracted the virus.
The season starts in Bahrain on March 28.
Last year's championship was hit by the pandemic, with the planned opener in Australia cancelled after a McLaren team member tested positive.
The sport eventually started in July with teams operating in "bubbles" and under a strict safety protocol with the paddock closed to all but essential staff.