Correa, 20, suffered a spinal injury and broken legs in the crash at Spa, in Belgium, on 31 August.
Correa’s lungs have “gradually recovered” but his respiratory functions are still being assisted.
Correa had a four-hour operation in Liege, but on arrival in London was diagnosed with acute respiratory distress syndrome.
“Juan Manuel remains in the Intensive Care Unit in a state of induced coma,” his management company Race Tech Development Group said in a statement.
“Juan Manuel’s leg injuries remain an important concern and will undergo immediate surgery once his lungs are strong enough to withstand the procedure.”
