The Chicago native will also sing during the episode set to air Thursday.
Hudson, a Grammy and Oscar winner, has been a spokeswoman for Weight Watchers.
In October 2008, the bodies of her mother, Darnell Hudson Donerson, and brother, Jason Hudson, were found in the family's home on Chicago's South Side.
The body of her 7-year-old nephew, Julian King, was found days later in a sport utility vehicle about 10 miles away. All three had been shot.
The estranged husband of Jennifer Hudson's sister, Julia, is charged with first-degree murder in the killings.
Hudson has repeatedly declined to talk publicly about the killings.
