"As of now there are no plans for production to go to Vegas and film," a source said.
Khloe, 31, rushed to Odom's bedside on October 13, after the 35-year-old athlete was found unconscious in a Nevada brothel and transported to the hospital, where his former wife remained overnight.
The reality star's mother, Kris Jenner, and her sister Kim accompanied her to the hospital on Tuesday, and early Wednesday morning, Jenner, 59, emerged looking distraught.
Odom's family members and kids - including Destiny and Lamar Jr - are currently en route to the hospital as well. The athlete is also father to late son Jayden, who died in June 2006 at six months old.