Specs Wright was born Charles Wright on September 8, 1927 in Philadelphia, Pennsylvania. He played drums in an Army band until his discharge in 1947. Following this he played in a group with Jimmy Heath and Howard McGhee. By 1949 he had joined Dizzy Gillespie's band alongside John Coltrane, remaining until it disbanded in mid-1950.

Wright would rejoin Dizzy late in the decade as a member of his sextet with Coltrane, Jimmy Heath,