Brown's grandmother and Whitney's mother, Cissy Houston, proposed the idea over the weekend, according to the Post. The family plans to take Brown off of life support at the stroke of midnight Tuesday night.
Family members and friends, including Bobbi Kristina's father Bobby Brown, organized a public candlelight vigil Monday night in Riverdale, Ga.
On Tuesday, Brown's family released a statement that called out several news outlets for "false" reporting, but revealed no specifics about Bobbi Kristina's condition.
"The false reports that continue to appear in print and on the internet are egregious, false and will be dealt with at an appropriate time. In particular, the false reporting of TMZ, The National Enquirer, The Atlanta Journal Constitution and the Daily Mail (UK) citing, police sources, family sources and Bobby Brown himself, will receive my attention," the Brown family said in a statement through Bobby's lawyer, Christopher Brown. "The desire to be 'first' has clouded the judgment of many reporters as they forgo accuracy. This is a criminal investigation and the integrity of that process requires silence."
The Brown family added: "We continue to request privacy in this matter. We thank everyone that supported the vigil for Bobbi Kristina. God is hearing our prayers."
Brown, 21, has been in a coma since she was found unresponsive in a bathtub at her home in Georgia on Jan. 31. Police are investigating the incident, focusing on Brown's romantic partner Nick Gordon, who discovered her in the bathtub. Brown reportedly had injuries to her face when she was found.
Whitney Houston died on Feb. 11, 2012, after drowning in a bathtub with drugs in her system.