Bianchi remains in a critical, but stable, condition at Yokkaichi's Mie General Medical Centre after suffering a diffuse axonal injury when he collided with a recovery vehicle during the Japanese Grand Prix in Suzuka earlier this month.
The 25-year-old Frenchman's father, Philippe, believes the Marussia driver still has the strength to pull through.
"The situation is desperate," Philippe Bianchi told Gazzetta dello Sport. "Every time the telephone goes, we know it could be the hospital to tell us that Jules is dead.
"But initially they said that the first 24 hours were crucial. Then it became the first 72 hours and here we are still with Jules, who is fighting.
"He will succeed in the most important qualifying lap of his life. He won't give up, I'm sure of that.
"I can see it. I believe it. I speak to him. I know he can hear me. His doctors have told us that this is already a miracle, no one has ever survived such a serious accident. But Jules won't give up.
"His trainer Andrea says that if there is one person who can make it happen, with his will, it's Jules."
Philippe, however, said it is impossible to say whether his son will make any sort of recovery.
He added: "I was very sad when he got hurt. I kept wondering, like everyone else 'Why don't they tell us more about how he is?' But now I'm in the same position I understand.
"Everyone keeps asking me how Jules is but I can't reply, there is no answer. It's very serious, but he's stable.
"One day he seems a bit better, other days a bit worse. The doctors don't say. The damage from the accident is very bad but we don't know how it will evolve.
"Even with [Michael] Schumacher it took months to come out of the coma. [FIA president] Jean Todt said he hopes Michael will one day be able to have a normal life. One day I hope we can say the same about Jules.
"It's tough. In a week the life of this family has been destroyed. What are we doing here? Living a nightmare in a place very far from home.
"But when Jules gets a bit better we can transfer him, maybe to Tokyo and things will be a bit easier. But who knows when that will happen. If it will happen. We have no certainties, we just have to wait."
Bianchi senior expressed his gratitude to the show of support from Formula One drivers before the Russian Grand Prix on Sunday, when they stood in a circle arm in arm on the grid.
Philippe said: "I've never seen anything like that. It touched us very deeply. We thank every one of them. So many of them have been in touch, written to me; [Fernando] Alonso, [Jean-Eric] Vergne, [Felipe] Massa have given strong messages.
"[Lewis] Hamilton wrote me a beautiful email in which he says that if there is anything he can do, he's there. [Valentino] Rossi and [Marc] Marquez from Moto GP too."