UsMagazine.com said the development came after the media mogul interviewed the famous family for her Oprah Winfrey Network.
"She and Khloe [Kardashian Odom] especially hit it off. Khloe had her dying laughing," a source told UsMagazine.com. "It meant so much because she loves Oprah!"
Winfrey's representative confirmed she will appear on the E! show, but did not say when, UsMagazine.com said.