Dr. Lao's smoking scene faked?

At some points in the film, Dr. Lao is seen smoking a pipe with smoke coming out of it. I have heard that Tony Randall was very much against smoking, and it says so right here on IMDB. Could the scene have somehow been faked? My dad told me that one time on The Tonight Show with Johnny Carson, he told him to put his cigarette out, saying, "Will you put that thing out?!" I've never seen the episode, though.