Victoria Wood "See You on Broadway" Sketch

This sketch was on As Seen On TV. A woman auditions by singing a song very badly. She ends by greeting a man, presumably an actor, with this phrase. It was filmed in black and white.

Was it a takeoff of some particular film?

EDIT: The man is a songwriter, Jimmy, and the song is "I'm Counting Moonbeams". The "Oh Jimmy", "What is it?","Oh thanks," seems typical Hollywood mawkishness.

Audio link: http://lyrics.lucywho.com/see-you-on-broadway-lyrics-victoria-wood.html