R&B singer Bobby Brown hasn’t given up hope that his daughter with the late Whitney Houston, Bobbi Kristina Brown, will recover, a source closely connected with the family told FOX411.

The insider revealed that despite reports that Bobbi Kristina Brown’s situation is dire, her family refuses to give up hope and her father won’t let anyone discuss any worst-case scenarios.  

The source added that Bobby Brown was planning to record a tribute to Houston with his daughter later this year.

Bobbi Kristina Brown, 21, was taken Saturday to a hospital in the northern Atlanta suburb of Roswell, Ga., police said.

Her husband, Nick Gordon, along with a friend, found her in a bathtub Saturday, Roswell police said in a statement. The friend called 911 while Brown's husband performed CPR on her because they believed she was not breathing and didn't have a pulse, said Officer Lisa Holland, a Roswell Police Department spokeswoman.

More On This...

Police gave Brown additional care before she was taken to the hospital, Holland said.

Whitney Houston was found dead in a hotel bathtub on Feb. 11, 2012, in Beverly Hills, Calif. The 48-year-old Houston had struggled for years with cocaine, marijuana and pills, and her behavior had become erratic.

Authorities examining Houston's death found a dozen prescription drug bottles in the hotel suite. They concluded Houston accidentally drowned. Heart disease and cocaine use were listed as contributing factors in Houston's death.

In September, the late singer's sister-in-law, Pat Houston, told The Associated Press that Bobbi Kristina Brown was doing well, and that she was proud of her.

"Bobbi's a 21-year-old. She's doing good," Pat Houston said.

Over her career, Whitney Houston sold more than 50 million records in the United States alone.

Her voice, an ideal blend of power, grace and beauty, made classics out of songs such as "Saving All My Love For You," ''I Will Always Love You," ''The Greatest Love of All" and "I'm Every Woman." Her six Grammy Awards were only a fraction of her many awards.

Fox News’ Hollie McKay and The Associated Press contributed to this report.