"She basically was the little girl I never had," Warwick told "GMA" host Robin Roberts about her close relationship with Houston, who died at the Beverly Hilton on February 11.
"I'm heading toward being OK," she said. "I have not had the opportunity to really mourn, to completely break down, which I will do, I know that. I think the comfort comes from knowing she's in good hands now. She's in the best hands now."
Warwick, who spoke at Houston's funeral, also gave an update about Houston's mother, Cissy.
"I am so proud of her. She is really holding up so very well. She has her moments, of course, and she'll continue to have her moments. But I think she's come to terms with it just about now, the realization that it happened."
"It's not an easy thing for a parent to lose a baby," she added.
Warwick recalled how she spoke to Houston the day she died and that she flew out to LA from New Jersey in order to attend Clive Davis' annual party before the Grammys.
"She was so up and ready and happy," Warwick said of Houston, hours before she died. "She had everything in the world to live for. She had a new film, that was an absolute dream to make and do, and completed that, thank God. She was getting ready to go back into the studio to record, she was getting her vocals together."
"It's very, very surreal," Warwick added. "It hasn't really sunk in yet."
It was revealed Wednesday that Houston's estate will go to her daughter, Bobbi Kristina, and Warwick gave a short update on how she's doing since her mother passed away.
"That's the one thing I love about my family: We are a family, so she has the support that she actually needs," Warwick said.
More:Dionne Warwich Good Morning America Dionne Warwick Whitney Interview Dionne Whitney Houston Dionne Warwick Gma Dionne Warwick
SUBSCRIBE AND FOLLOW
Get top stories and blog posts emailed to me each day. Newsletters may offer personalized content or advertisements.Learn more