Brynn O'Malley from Honeymoon in Vegas and Mary Beth Peil from Dying for It also join the conversation.
The drama will play the Axis Theatre.
The drama will end its run far earlier than expected.
The Grammy winner joins the long-running musical for a limited time.
The 16-time Grammy winner takes on the role of Jackie White.
The musical will be presented as a benefit for The Actors Fund.
Akin Babatundé directs Alan Govenar's drama.
Rudetsky and Jack Plotnick are the authors of the show, which ran off-Broadway in 2013.
Lippa and Tom Greenwald wrote the 1995 musical.