Whitney Houston's daughter, Bobbi Kristina Brown, has been taken off the ventilator which has helped her breathe since she was found collapsed in a bathtub at home last month.
A family source said Brown's overall condition had not changed and no decisions had been made to take her off life support.
She will now be given air through a hole in her throat, indicating she is not expected to make a recovery in the near future.
Brown, who is 21, is fighting for her life after being found face down and unresponsive in the bath at her home in Atlanta.
Police are treating the case as a criminal investigation.
The family of Whitney Houston's daughter, Bobbi Kristina Brown, have revealed she is "fighting for her life".
The 21-year-old was rushed to hospital after being found unconscious in her bathtub at her home in Atlanta at the weekend.
Publicist Jill Fritzo also reiterated a request for privacy from Bobbi's father, Bobby Brown.
Singer Bobby Brown has asked for privacy after his daughter with Whitney Houston was found unresponsive in a bathtub at the weekend.
In a statement, he said: "Please allow for my family to deal with this matter and give my daughter the love and support she needs at this time."
Spokesman for the family Christopher Brown confirmed Bobbi Kristina Brown, 21, was brought to an Atlanta hospital and that her father was by her bedside but said that "no additional information will be forthcoming."
The incident echoes her mother's death three years ago.
The family of Whitney Houston's daughter Bobbi Kristina Brown said she was a "tiger" and that they were hopeful she would pull through..
Her cousin Jerod Brown told NBC News she was going through a "hard time" as the anniversary of her mother's death approaches.
"She's been through a lot, you know what I'm saying. This is a hard time, it's her mother's anniversary of her death," Jerod Brown said.
"It's been a hard time, it's a rough time of year," he said, adding, "But she's a tiger, she's going to pull through it."
The Atlanta home of Whitney Houston's daughter has been sealed off while investigations are carried out into how she ended up unconscious in her bathtub.
Bobbi Kristina Brown was rushed to hospital after her husband found her 'unresponsive' in the tub this morning.
Whitney Houston's daughter has been taken to hospital after she was found unresponsive in a bathtub at her home.
Bobbi Kristina Brown was discovered this morning by a friend and her husband, who gave her CPR until emergency crews arrived at the house in Atlanta.
A spokeswoman for the Roswell Police Department said she was taken alive to North Fulton Hospital in Roswell.
An investigation has been launched.
Whitney Houston's daughter, Bobbi Kristina Brown, 20, has tied the knot with her friend Nick Gordon, the Associated Press reports
A representative confirmed that the marriage but did not say when or where it has taken place.
On Thursday, Brown tweeted a pictured of the couple wearing wedding rings with hands on top of each other.
Whitney Houston's mother is writing a book about her daughter's life, career and death, her publisher HarperCollins has revealed.
The former gospel singer Cissy Houston is penning the memoir, which has been billed "the definitive account of Whitney Houston's astonishing life". The book is currently untitled and is due in February.
Whitney Houston died last February at the age of 48.