Dorham was one of the most active bebop trumpeters. He played in the big bands of Lionel Hampton, Billy Eckstine, Dizzy Gillespie, and Mercer Ellington and the quintet of Charlie Parker. He joined Parker's band in December 1948. He was a charter member of the original cooperative Jazz Messengers. He also recorded as a sideman with Thelonious Monk and Sonny Rollins, and he replaced Clifford Brown in the Max Roach Quintet after Brown's death in 1956. In addition to sideman work, Dorham led his own groups, including the Jazz Prophets (formed shortly after Art Blakey took over the Jazz Messengers name). The Jazz Prophets, featuring a young Bobby Timmons on piano, bassist Sam Jones, and tenorman J. R. Monterose, with guest Kenny Burrell on guitar, recorded a live album '"Round About Midnight at the Cafe Bohemia" in 1956 for Blue Note.