The status of Whitney Houston's daughter has remained unchanged since Jan. 31, but a lawyer denied reports that she would be taken off life support this week.

According to Dana Rose Falcone of People, Bobby Brown's lawyer, Christopher Brown, said that any reports regarding 21-year-old Bobbi Kristina Brown being taken off life support were "false." However, family members told People Magazine that she remains in grim condition at Emory University Hospital in Atlanta.

"There hasn't been a change in the past week," a family member said on Sunday.

Falcone reported that Houston passed away on Feb. 11, 2012. Given the three-year anniversary of her death, some speculated that her daughter would be off life support around that time too.

"He [Bobby] wants to make a decision based on facts, not on what the public feels that he needs to do," another relative said last week to People.

Falcone reported that before being found unconscious in the bathtub by boyfriend Nick Gordon and friend Max Lomas, Brown was involved in a car crash back on Jan. 27.

"She lost control while driving her Jeep and collided with another vehicle on Jan. 27, injuring two people," Falcone wrote.

Police in Georgia are investigating the bathtub incident as a criminal matter, according to Falcone.

"The incident has always been under criminal investigation," the Roswell Police Department said in a press release. "Criminal investigations may or may not result in criminal charges being brought against individuals."

In the meantime, Jackie Willis of Entertainment Tonight reported that Brown's boyfriend placed on himself "a flowery namesake tattoo in her honor." However, 25-year-old Gordon was banned from seeing her at the hospital.

Brown's family has maintained hope that Brown would fully recover. People reported that her father and grandmother, Cissy Houston, have held a constant vigil by Brown's bedside.

"It's so confusing," another family member said of Brown's condition. "[But] everyone is still praying for her. That's what matters."

Entertainment Tonight reported that Brown has been on a respirator and in a medically induced coma since she was found face down in the bathtub on Jan. 31. However, Mike Vulpo of E! News reported that her father asked that people focus on "praying for a recovery" and requested privacy from them as well.

"We continue to request privacy in this matter," Bobby Brown said in a statement. "We thank everyone that supports Bobbi Kristina and God is healing our prayers."

One of those people wishing for her speedy recovery was 60-year-old American actor Kevin Costner, according to Vulpo. He was in the iconic 1992 film "The Bodyguard" alongside her famous mother.

"My thoughts are probably similar to everyone, which is obviously, the similarities, what's going on, the worry that this might have happened again," Costner said. "Where is this little girl going to go when you lose your mother?"

Costner added that he hoped "God opens her eyes and lets her breathe and lets her brain work, and she gets a second chance."