Smash, which premiered on NBC earlier this month, tells the story of the formation of a musical production on the life of Marilyn Monroe.
The series also stars Debra Messing, Angelica Huston and American Idol alum Katherine McPhee. Steven Spielberg acts as executive producer.
NBC has released an exclusive video featuring Hilty, who plays an actress auditioning for the role of Monroe, and Chase, whose character is up for the role of Joe Dimaggio.
In the clip, the two actors sing a duet titled 'Mr and Mrs Smith', while show songwriters Marc Shaiman and Scott Wittman explain the significance of the track.
Smash airs Monday nights on NBC.
Watch the Smash 'On Set' video below: