Moffett had a supporting role in Bernardo Bertolucci's drama Stealing Beauty (1996), and went on to star in the network series For Your Love (1998β2002). Other film credits from this time include Steven Soderbergh's Traffic (2000), which earned Moffett a Screen Actors Guild Award for Outstanding Performance by a Cast in a Motion Picture, and the coming-of-age drama Thirteen (2003).
Beginning in 2008, Moffett had a recurring role on the NBC drama series Friday Night Lights, appearing in two seasons. From 2011 to 2017, he starred as John Kennish on the ABC Family series Switched at Birth.