Mariyn Monroe on TV With Jack Benny, The Lurline Trip, Drunk at the Oscars

"The Honolulu Trip"

Jack: At eight o'clock?
MM: All right, but I'd better be going now.
(MM: then sings "Bye Bye Baby" from "Gentlemen Prefer Blondes"-- a classic MM signature song)

(The skit ends with Jack Benny asking MM to kiss him, and finally realizes that he has been dreaming.)
This was classic 1950's TV show structure, having the guest do a short comedy skit and then end it in a song (if they could sing.) Marilyn had a good singing voice and "Bye Bye Baby" was released many times on various MM albums and soundtrack albums.