Joining Ronstadt gave him entry to the Los Angeles session scene, and for the next decade-and-a-half, whenever a pop/rock performer needed a steel guitar, Dugmore tended to get the call. He began working with James Taylor regularly, starting with the re-recording of "Carolina in My Mind" on Taylor's 1976 Greatest Hits album. During the rest of the 1970s, in addition to appearing on Ronstadt's million-selling LPs Prisoner in Disguise (1975), Hasten Down the Wind (1976), Simple Dreams (1977), and Living in the U.S.A. (1978), and Taylor's equally successful JT (1977) and Flag (1979), he played on albums by Andrew Gold, Pablo Cruise, Karla Bonoff, David Gates, Richie Furay, Michael Martin Murphey, the Pointer Sisters, and J.D. Souther, among others. In 1980, Dugmore joined with other Ronstadt/Taylor backup musicians to form the band Ronin, which released one self-titled album.