Rogers will appear in the show set to air Dec. 12.
"Walden's mother arrives and Alan is smitten with her, even as she reveals a secret about Walden's past that sends him into a downward spiral," CBS said in a synopsis.
Jon Cryer plays Alan on the show.
Rogers' small-screen credits include "The Rousters" and "Paper Dolls."
Notable deaths of 2014 [PHOTOS]