On 31 August 2022, Burnley confirmed the signing of Otegbayo following a successful trial period for this U18 side.[3] He was the first youth player to be sold from Cobh Ramblers since Roy Keane.[4]
On 1 March 2024, Otegbayo signed his first professional contract with Sheffield Wednesday following a successful trial period.[5][6][7] He signed a new contract at Wednesday at the end of that season.[8] He made his professional debut, coming off the bench in the EFL Cup on 14 August 2024 against Hull City, helping the side win 2–1.[9][10] He made his first professional start against Blackpool in the third round, helping his side to a 1–0 win before being replaced by Akin Famewo.[11][12] On 5 November 2024, he made his Championship debut against Norwich City, replacing Dominic Iorfa, helping Wednesday to a 2–0 victory.[13]