Having joined the Rochdale academy, Nevett made his senior debut on 29 April 2023 as a late substitute in a 4–1 victory over Sutton United.[4]
On 19 June 2024, Nevett signed for League One club Peterborough United for an undisclosed fee on a four-year deal.[5][6] He made his debut, coming on as a substitute, against Wrexham in August.[7]