Dobson competes for Colchester Harriers Athletics Club.[2] He won his first international competition, which was the Loughborough International meeting.[5] He came second in the 200 metres event at the 2018 IAAF World U20 Championships,[2][5] finishing behind teammate Jona Efoloko.[5] Dobson had set personal best times in the heat and semi-finals of the competition.[6]
In 2020, Dobson set the British Universities & Colleges Sport record for the 60 metres event.[3] In 2021, Dobson ran the 400 metres event once. His finishing time was the joint fastest by a Briton that year, tied with Matthew Hudson-Smith.[4] He was selected in the British team for the 2021 World Athletics Relays,[7] but injured himself prior to the event. The injury also prevented him from attempting to qualify for the delayed 2020 Summer Olympics;[4] he had been hoping to make the British 4 x 400 metres team at the Games.[2] He spent 10 months out with injury before returning in February 2022 at the Loughborough Indoor Open.[8]