Juan Manuel Correa requires further surgery, but his condition has begun to take an "upward trend" as he recovers from the injuries sustained in the Formula 2 crash that killed Anthoine Hubert.
Correa suffered fractures to both legs and a spinal injury in the incident at Spa-Francorchamps, and later came down with respiratory failure, having moved from a hospital in Belgium to a facility in London.
The American remains in an induced coma and will undergo further procedures when he has regained enough strength.
A statement from Correa's parents read: "We have good days and bad days as well as long nights and short nights but with the support of the motorsports community, our friends, family, country and fans, we continue to pray for Juan Manuel.
"Juan Manuel remains in a state of induced coma with paralysis in order for his lungs to get as much rest as possible.
"Continuing to be assisted by an ECMO machine many of the key vital indicators have improved slightly while others have deteriorated very little.
"We have been reminded by the doctors that as long as Juan Manuel continues in an upward trend of improvement, even if very little, it is all that we can ask for at the moment.
"Infections are under control and respiratory indicators remain stable and all vital signs continue to remain consistent and stable.
"We believe in our son’s strength and determination, we see the minor improvement as an indication of him starting to turn the tide in his favour, we just need him to do it a little quicker.
"Doctors continue to monitor and change the bandages when necessary and confirm that the fractures are multiple and severe. Additional surgeries will be required once Juan Manuel’s lungs improve to a state that it is safe for doctors to proceed."
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