The family also plans to remove the breathing tube from Brown's throat soon to see how she responds, a source tells the site.
Brown has been in a coma at Emory University Hospital since Jan. 31, when she was found unresponsive in a bathtub in her home. Police are investigating her drowning, and her family has been struggling with the decision about whether to keep her on life support.
Brown is the sole heir to the estate of her mother, Whitney Houston, which was estimated to be worth about $115 million at the time of Houston's death three years ago, according to ET. In the event of Brown's death, the money would go to Houston's mother, Cissy.