PS Classics will record the show for a record released on June 3.
The Jeanine Tesori-Brian Crawley musical will play the American Airlines Theatre.
The full cast, which will also feature Ben Davis, Annie Golden, and Austin Lesch, has been announced.
Sondheim show veterans Ann Morrison, Joanna Gleason, Chip Zien, and Alexander Gemignani were among the stars who turned out to watch the new film.
The October 28 event will also feature Alexandra Silber and Nick Wyman.