Enzo Fittipaldi suffered a fractured heel in the crash at the start of Sunday's Formula 2 race ahead of the Saudi Arabian Grand Prix.
Fittipaldi, grandson of two-time Formula One champion Emerson, drove into the back of Theo Pourchaire's car, which had stalled on the grid.
Both drivers were immediately attended to by medical staff and were conscious when extricated from their cars. They were then taken by ambulance and helicopter to King Fahad Armed Forces Hospital in Jeddah.
Pietro Fittipaldi, Enzo's brother, provided an update on Twitter.
"Hey everyone thanks for all the messages," he wrote.