Maria de Villota has moved out of the intensive care unit at a Cambridge (UK) hospital.
Marussia boss John Booth said on Sunday that the team's test driver is no longer in an artificial coma and has therefore been able to speak with her family, including her father and former F1 driver Emilio de Villota.
"Her level of sedation has been reduced markedly," he told the Spanish broadcaster Antena3.
De Villota's sister Isabel is quoted by the Spanish media as saying the 32-year-old has "made good progress in the last hours" and has "left the ICU unit".
But she warned: "The coming days will be crucial for her recovery and to determine the extent of the consequences (of her injuries)."