The 48-year-old singer, who missed Tuesday's results show after George Osmond's death, will continue to compete on the top-rated dance competition, ABC publicist Aime Wolfe said Wednesday.
Osmond will also appear with family members - including brother Donny - on Oprah Winfrey's talk show Friday, said Don Halcombe, a publicist at Harpo, Winfrey's production company.
Osmond skipped Tuesday's live broadcast of "Dancing" to be in Utah with her family. Actress Jane Seymour, who also missed an elimination show last month after the death of her mother, was eliminated.
George Osmond, patriarch to the Osmond family's singing group, The Osmond Brothers, died Tuesday at age 90. Family spokesman Kevin Sasaki said Osmond died at his home in Provo, Utah. Because he had not been ill, he likely died from natural causes incident to his age, Sasaki said.