The performance was part of a Wicked-themed episode, featuring special guest judges Cynthia Erivo and Ariana Grande.
The record is a new collection of the singer-songwriter's songs performed by Broadway talent, focusing on the Grammy winner's knack for storytelling.
The show tunes you need from the shows you love!
The musical has shifted the action from England to the legendary port city New Orleans, completed with a jazz influenced orchestration.
The John Cassavetes film got the stage musical treatment in London's West End last year.
Goldsberry, who will co-host The Tony Awards: Act One, performed a tune from her debut solo album on Today.