Vapors (1965)

Mr. Jaffee is a curious but closeted married man, who decides to take a walk on the wild side one night over to the local bath house located in Times Square, New York. When he is a approached by Thomas, a swinging regular who takes an interest in Mr. Jaffe as the new face "on the scene", a deep discussion about marriage, connection and loss begins to unexpectedly unfold. The two become emotionally intimate in a very short time, with no sexual contact of any sort, while everyone around them are screwing like rabbits.

Unfortunately the movie Vapors is not yet available on Disney Plus.