Sam Singer, a hospital spokesman, said it would comply with the judge's new order but would oppose any efforts by Jahi's family to convince a court that she is still alive and entitled to the same rights as a living person.
"We are hopeful we will be successful so this tragedy can end," Singer said.
He also dismissed claims by Jahi's relatives that she has shown signs of life, saying any muscle activity was an involuntary muscle reflex.
The family's lawyer, Christopher Dolan, said when he called Jahi's mother at the hospital about the extension of the deadline, she said hospital staff had cleared family members out of a waiting room as doctors prepared to remove Jahi from the ventilator.
"He's giving us a meaningful opportunity to seek relief and what I consider a stay of execution," Dolan said of the judge's ruling. "I feel like I'm a death row lawyer, and it does not feel good."
The attorney said he knows he has been widely criticized by some for giving the girl's family a false sense of hope. But he said, "I am fighting for the right of parents to direct the health care of their child and for them to make the choice."
Doctors at Children's Hospital and an independent pediatric neurologist from Stanford University have concluded Jahi is brain dead.
She underwent a tonsillectomy at the hospital Dec. 9 to treat sleep apnea and other issues. After she awoke from the operation, her family said, she started bleeding heavily and went into cardiac arrest. Then she was declared brain dead three days later.
In a declaration filed with the federal action by Jahi's family, Dr. Paul Byrne, a pediatrician who has questioned the definition of brain death, said he visited Jahi's bedside and observed her responding to her grandmother's voice and touch with a squirming movement.