Carpenter will temporarily replace Will Swenson in the role.
The new production begins previews March 1 at the Imperial Theatre.
The fictional musical takes the stage at 54 Below on Sunday and Monday.
Meet the lovely ladies, factory workers, drunks, and soldiers who will appear in the musical at the Imperial Theatre.
The new production will open on Broadway this March.
The score of the Tony Award-winning (fictional) musical will be sung on December 9 at 54 Below.