Williams' Alex Albon was put on a ventilator after complications following surgery for appendicitis but the Thai driver has since recovered and is expected to be released from hospital on Tuesday.
Albon was replaced in the driver line-up ahead of the weekend's Italian Grand Prix. Dutch driver Nyck de Vries made his Formula One race debut as a replacement at Monza and finished ninth.
Albon had successful laparoscopic surgery on Saturday before he encountered respiratory complications.
"Following surgery, Alex suffered with unexpected post-operative anaesthetic complications which led to respiratory failure, a known but uncommon complication," Williams said on Monday.
"He was re-intubated and transferred to intensive care for support. He made excellent progress overnight and was able to be removed from mechanical ventilation yesterday morning.
"He has now been transferred to a general ward and is expected to return home tomorrow. There were no other complications."
Williams added Albon's focus is now on preparing for the Singapore Grand Prix over the September 30-October 2 weekend.