Chase, who has a recurring role on TV's "Smash" and is a veteran of Broadway's Billy Elliot and The Full Monty, will play Doc opposite Osnes' Suzy.
Additionally, James Clow, Stephen Wallem, James Moye, Steve Routman and Stephen Wallem were announced on Feb. 9 to play members of the populace of a California waterfront town that was also part of the novel "Cannery Row."
Marc Bruni directs the concert production that will play March 28-April 1 at New York City Center.
Pipe Dream will have music direction by Rob Berman and choreography by Kelli Barclay.
Pipe Dream opened at the Shubert Theatre on Nov. 30, 1955, and ran for 246 performances. It was nominated for nine Tony Awards, including Best Musical.
Encores! notes indicated that Pipe Dream "has been virtually absent from the American stage for more than two decades, owing to a technicality involving the underlying rights. The Encores! presentation will also include the first hearing of the newly restored Robert Russell Bennett orchestrations, meticulously reconstructed by the Rodgers & Hammerstein office."
The score includes the rarities as "All at Once You Love Her," "The Next Time It Happens" and the ballad "Everybody's Got a Home but Me."
Osnes, of Grease, South Pacific and Anything Goes, played Bonnie Parker in Bonnie and Clyde on Broadway this season.
For tickets and information, call (212) 581-1212 or visit www.NYCityCenter.org.