In 1960, Dobkin appeared as Kurt Reynolds in the episode "So Dim the Light" of the CBS anthology series The DuPont Show with June Allyson, and as an escape artist on the run from a possible murder charge in Wanted: Dead or Alive. He appeared in the David Janssen crime drama series, Richard Diamond, Private Detective. Dobkin appeared in four episodes of The Rifleman playing four different characters, including a heartfelt portrayal of General Philip Sheridan from the American Civil War. He appeared in an episode of The Tab Hunter Show in 1961.
He began directing for television in 1960, and his work in this area included episodes 1, 9, 10, and 13 of The Munsters (1964), 16 episodes of The Waltons (1972–1981), and an episode of Sara (1976).