The "Private Screenings Uncut" podcasts will be free through tcm.com and iTunes.
Each program is to be drawn from TCM's archives of the series, which features TCM host Robert Osborne conducting in-depth interviews with Hollywood icons.
The podcasts will be expanded versions of Osborne's conversations, including portions not featured in the original telecasts.
In addition, Osborne will record special introductions for each interview.
TCM has kicked off the series with October's Star of the Month Leslie Caron.
"One of the greatest privileges and joys for me at TCM is being able to sit down with some of Hollywood's greatest personalities for 'Private Screenings,'" Osborne said in a statement. "This podcast will allow fans to enjoy some of the most memorable interviews we've conducted in the past, including a lot of material that has never been heard before."