The AlphaTauri driver, who won last year’s Italian Grand Prix, contracted the virus in Dubai.
Gasly, 24, wrote on Twitter: “I wanted to let you know that I tested positive for Covid-19. I have told everyone I’ve been in contact with during these last days.
“I’m currently self-isolating and following the protocol set by the local health authorities.
“I’m feeling OK, and will continue to follow my training plan from home while I remain in isolation.”
British driver Lando Norris and Ferrari’s Charles Leclerc both tested positive for Covid-19 last month following time in Dubai. Lewis Hamilton also contracted the illness there ahead of November’s Bahrain Grand Prix.
Sergio Perez and Lance Stroll tested positive for the virus last season.