Composer Scott Alan will accompany the "Unique" star.
Lynch will also be joined by Broadway veteran Cheyenne Jackson for the concerts.
A Broadway-themed concert will be held at the West Coast supper club Upstairs at Vitello's.
Glee stars Amber Riley and Jenna Ushkowitz will also appear in the August production.
Chenoweth is set to be inducted into the Hollywood Bowl Hall of Fame.
The actress talked about the potential revival on Bravo's Watch What Happens Live.
The celebration for Tom Kitt and Brian Yorkey's new musical boasted a guest list that included Darren Criss, Michael C. Hall, and Maura Tierney.
The Emmy winner and Broadway veteran will perform four concerts at 54 Below.
Michele cowrote the song "If You Say So" as an autobiographical final track for her new solo album.