Stern stated his confusion about why people like Oprah were still having parties over the holiday period.
The interview will air this Monday, and the Fox News host will share a portion of the conversation on "Tucker Carlson Tonight" that same day.
Osbourne partook in a heated conversation on race earlier with co-host Sheryl Underwood. The two discussed Osbourne's support of former "Good Morning, Britain" host Piers Morgan.
The 2-hour special on CBS averaged 17.81 million viewers, according to live plus same day data from Nielsen Media Research.
“I did not want to watch two hours of two rich people whine and complain to an even richer person (Oprah) about how the Queen was...
Winfrey continues to serve as CEO and chief creative officer of OWN, though she now owns only a 5 percent stake in it.