OH Leuven Dessers joined
OH Leuven's youth system from
Tongeren at the age of 16 in 2011. He had previously played youth football for FC De Zwaluw Vechmaal, Union FC Rutten and
Sint-Truiden. He began studying law at university (
KU Leuven) while playing for OH Leuven's youth teams. With OHL in danger of relegation and several first-team strikers either out of shape, injured or suspended, he was given his first minutes in the first-team in a 3–2 away loss against
Mons.
Lokeren In April 2014, Dessers signed a two-year deal with
Lokeren.
NAC Breda In July 2016, he signed for
Eerste Divisie club
NAC Breda on a contract until the summer of 2019. On 28 May 2017, they were promoted to the
Eredivisie after a 4–1 victory over
NEC, in which Dessers scored three goals. He finished the season with 29 goals in 40 matches. in 2014
FC Utrecht In July 2017, Dessers moved to
FC Utrecht, agreeing a contract for three years with an option for an additional year.
Heracles Almelo Dessers joined
Heracles Almelo in July 2019. After the
2019–20 Eredivisie season was abandoned, he was jointly awarded the top goalscorer award alongside
Steven Berghuis, with 15 goals each.
Genk and loan to Feyenoord On 30 June 2020, Dessers moved to
Genk on a four-year deal. On 31 August 2021, Dessers returned to the Netherlands to join
Feyenoord on loan with an option to buy. He scored his first goal for the club on 19 September, scoring Feyenoord's fourth goal in a 4–0 away win against
PSV. Dessers finished the season as UEFA Europa Conference League Top scorer with ten goals in 12 matches and was also selected for the UEFA Europa Conference League Team of the Season. Overall Dessers scored 20 goals for Feyenoord in 41 matches during season 2021-22. On 1 June 2022, Feyenoord announced that they had opted not to exercise the option to purchase Dessers' contract.
Cremonese On 10 August 2022, Dessers signed for Italian club
Cremonese. Dessers scored seven goals for Cremonese in 29 matches. Cremonese finished 19th in the Serie A table and were relegated to Serie B.
Rangers 2023–24 season On 6 July 2023, Dessers joined
Scottish Premiership club
Rangers for an undisclosed fee. He made his debut for the club on 5 August 2023, starting in a 1–0 defeat away to
Kilmarnock. Four days later, Dessers scored his first goal for Rangers, against Swiss club
Servette in a Champions League qualifying tie. On 21 April 2024 Dessers scored twice against
Heart of Midlothian to send Rangers to the final of the
Scottish Cup. Following this Dessers scored another winning goal against St Mirren. Dessers' performances were praised by his manager
Philippe Clement. Following this game Dessers scored his 21st goal of the season in an away match against Celtic. Dessers 22nd goal of the season came from a header against Dundee at Ibrox stadium with the assist for the goal from team mate
Todd Cantwell.
2024–25 season After scoring a double in the league against
Ross County, Rangers manager Philippe Clement praised Dessers performance stating, "''It's clear [Dessers] is taking the right steps and becoming more and more important. He's growing as a player, that’s what we want''". In January 2025, Dessers scored a hat-trick in Rangers fourth round Scottish Cup tie against
Fraserburgh and finished the match as team captain in the absence of
James Tavernier and
Jack Butland. Four days later, in a Europa League match against
Manchester United, he scored Rangers equaliser in a 2–1 defeat. In March 2025 in the first game under
Barry Ferguson in Europe, Rangers beat
Fenerbahçe 3–1 away from home, Dessers earned plaudits after scoring and assisting, whilst also having two goals ruled narrowly offside.
Panathinaikos On 1 September 2025, Desseres joined
Greek club
Panathinaikos on a permanent transfer for a reported £3.5m fee. ==International career==