**UPDATE**: Bobbi Kristina Takes A Turn For The Better

bobbi-kristina2On Monday February 2, 2015, The Houston & Brown family says, “Bobbi Kristina is fighting for her life and is surrounded by immediate family. As her father Bobby Brown already stated, we are asking you to honor our request for privacy during this difficult time.”

Sources connected with the family shares that 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.

RELATED: Bobbi Kristina Found ‘Unresponsive’ Face Down In Bathtub

Sources learned that the oxygen levels in her brain have increased significantly — 4 times better than Sunday when she went in.

But the family has been told because Bobbi Kristina was deprived of oxygen for anywhere between 2 to 5 minutes while she was submerged in a tub, doctors fear neurological damage.