On 6 July 2015 it was confirmed that Burnley had signed Vossen on a three-year deal for an undisclosed fee. On 8 August 2015, on the opening day of the English Championship 2015/16 season, Vossen made his debut for Burnley F.C. against Leeds United in a 1–1 draw.
On 30 August 2015, despite spending less than two months under contract at Burnley, Vossen signed a five-year contract at Club Brugge. On 23 September 2016, Vossen scored his 100th goal in the Belgian Pro League.