Postponement of the show came weeks after Richie and her "Simple Life" co-star, hotel heiress Paris Hilton, ended a feud that had kept the two on nonspeaking terms for over a year.
"We wish her a speedy recovery and fully expect the series will resume production at some point, hopefully in the near future," said Chris Alexander, a spokesman for 20th Century Fox Television.
Alexander said the upcoming fifth installment of "A Simple Life," in which the pampered pair will be shown working as camp counselors, had been slated to begin in early November and air sometime in 2007.
The show moved to the E! after ending a three-year run on the Fox broadcast network, where it debuted as a hit in 2003 starring Hilton and Richie mixing with common folk as they worked real jobs in America's heartland.
The show continued into a fourth season even after a highly publicized, but unexplained, rift developed between the two stars.
The show's executive producer, John Murray, has said their reconciliation earlier this month was inspired in part by a mutual dislike of the proposed concept for the show's upcoming fifth season, which originally was to have been shot on a desert island, Alexander said.
News of Richie's decision to seek medical help first surfaced on the cable network that airs her show, E! Entertainment Television, and its Internet outlet, E! Online.