Burrows starred in the show's pilot as Ike, the sidekick of lead character Walter (Geoff Stults).
However, Ike is now expected to be recast, Entertainment Weekly reports.
The character of Ike, who was a helicopter pilot and bar owner, is also expected to be changed.
The Finder, which is a spinoff of Bones, focuses on an Iraq veteran with an unusual ability to find people and things.
Michael Clarke Duncan also stars in the show, which will air on Fox in midseason.
Watch a trailer for The Finder below: