One of Sorensen's best known characters was a recurring role as Andy Bradley, a member of an oil cartel, on Dallas. He appeared in recurring television roles in The Brady Bunch, Barnaby Jones and Fred MacMurray's My Three Sons. His television career, which spanned from the 1950s to the 1980s also included work on The Mary Tyler Moore Show, My Favorite Martian, The Rockford Files and The Mod Squad. Sorensen was often cast in such westerns as Jefferson Drum, The Rifleman, Rin Tin Tin, Gunsmoke, Have Gun, Will Travel, The High Chaparral, Cheyenne, Cimarron City, Johnny Ringo, Wagon Train, The Virginian, and The Big Valley.