New parents Pete and Ashlee Simpson-Wentz have a new gig – a guest spot on CSI: NY, CBS confirms to PEOPLE.

"Ashlee will be playing 'Lia Wickfield' and Pete will be playing 'Chester Bryon'. They are a 'Bonnie and Clyde'-like couple," a source tells PEOPLE.

Ashlee is scheduled to begin filming her scenes Friday. Pete is expected to start shooting the show sometime next week.

The popular CBS show has been a celebrity guest magnet, welcoming Craig T. Nelson, Rumer Willis and Nelly.