HLN, the soft-news sister of CNN, will add a talk show next year hosted by Dr. Drew Pinsky, the celebrity doctor who has a suite of rehabilitation reality shows on VH1.

When the yet-to-be-named talk show is introduced next spring, HLN, which is a unit of Time Warner, will have completed the transformation of a prime-time schedule that started five years ago with the legal commentator Nancy Grace. The channel has not yet chosen...