Blomme began his career at the youth academy of
Club Brugge. On 22 August 2020, Blomme made his debut for Brugge's reserve side,
Club NXT in the
Belgian First Division B against
RWDM47. He started as NXT lost 2–0. On 18 February 2022, Blomme agreed to join
Go Ahead Eagles in the Netherlands for the 2022–23 and 2023–24 season. On 7 August 2024, he moved on loan to
Excelsior. On 17 January 2026, Blomme was loaned by
Eindhoven. ==Career statistics==