84-year-old Reynolds and 60-year-old Fisher died within a day of eachother
Star Wars actress Carrie Fisher and her mother, Hollywood legend Debbie Reynolds, could be remembered in a joint memorial service.
Fisher's brother Todd said it was "likely" there would be a combined ceremony for the stars, who died within a day of one another earlier this week.
Funeral plans are also under way.
Mr Fisher told the New York Daily News: "It's what we want to do, but we're still working on the mechanics.
"We like the idea, if it's at all possible. I think it's appropriate."
Singin' in the Rain star Reynolds (84) died from a suspected stroke on Wednesday, just a day after the death of her 60-year-old daughter.
Princess Leia actress Fisher suffered a heart attack on a flight from London to Los Angeles on December 23rd and died later in hospital.
Mr Fisher revealed his mother's last words were about her late daughter: "She said, 'I want to be with Carrie.' And then she was gone."
He has tweeted a drawing of his mother and sister in which they are shown embracing each other as their most famous movie characters.
The sketch, by Ricky LaChance, shows Carrie dressed as Leia, and Reynolds in a raincoat as Kathy Selden from Singin' in the Rain.
In his tweet, Mr Fisher wrote in the caption: "This is a beautiful love story to witness in my 58 years. I miss them both so much. Love is everlasting."
This is a beautiful love story to witness in my 58 years. I miss them both so much. Love is everlasting pic.twitter.com/AeIVGaGl9k— Todd Fisher (@tafish) December 29, 2016
Meanwhile, Hollywood's famous Chinese Theatre went dark in honour of Reynolds.
The venue premiered one of her last films, Rugrats in Paris: The Movie, in 2000.
General manager Levi Tinker said: "She had her hand and footprints honoured out here in the forecourt of the TCL Chinese Theatre back in 1965 for the opening of The Unsinkable Molly Brown.
"One of the interesting things about that is that she actually was sick that day.
"She had a 24-hour flu bug and she made her way out of bed to come out here to make sure she placed her hands and feet into the wet cement at the TCL Chinese Theatre."