The latest statement from the family of Bobbi Kristina Brown reads, “”Bobbi Kristina is fighting for her life and is surrounded by immediate family. As her father already stated, we are asking you to honor our request for privacy during this difficult time. Thank you for your prayers, well wishes, and we greatly appreciate your continued support.”

We get that from E! News. And the following is from the website of TMZ, which describes Kristina’s condition at “significantly better”:

“Sources connected with the family tell us … doctors performed tests Monday morning and determined the swelling on her brain has gone down. In addition, she has been able to ‘move her eyes’ … all important signs. “

TMZ adds, “Perhaps most important … we’re told the oxygen levels in her brain have increased significantly — 4 times better than Sunday.”

Not known is how long Kristina went without oxygen on Saturday, when she was found face down in her bathtub, reportedly not breathing and with no heartbeat, before she was revived.