Nicknamed "Hollywood", Dobey obtained his PDC Tour Card in 2015 and has since won five ranking titles.

[6] At Players Championship 11 he had deciding leg victories over Jan Dekker, Kim Huybrechts and Max Hopp to reach the last 16 of a PDC event for the first time, where he was defeated by Mark Webster 6–2.

[7] Dobey qualified for the 2015 World Series of Darts Finals and lost in a last leg decider to Terry Jenkins 6–5.

[8] At the 2016 German Darts Masters, Dobey saw off Ben Davies 6–1 and then averaged 100.64 in a win over Robert Thornton and 102.25 whilst beating Dave Chisnall 6–4.

[10] At Players Championship 19 Dobey beat Stephen Bunting 6–3 to reach the semi-finals and took out a 120 finish after Adrian Lewis had missed match darts.

However, Hughes closed the deficit to force a deciding leg which Dobey took to advance to his first major quarter-final, but he was outclassed by James Wade who won 16–5.

[13][14][15] His performances gave him a PDC Pro Tour spot in the 2017 World Championship, where he beat Justin Pipe 3–1 in the first round.

[19] These performances aided him in qualifying for the 2018 Players Championship Finals where he had a run to the quarter-finals, losing out to eventual winner Daryl Gurney 10–2.

Dobey reached his fourth PDC final at the 2019 Danish Darts Open, winning through as a non seed, but lost to Dave Chisnall 8–3.

Along the way he defeated Jeff Smith, Luke Humphries, William Borland, Jonny Clayton, Stephen Bunting, Maik Kuivenhoven & José de Sousa.

[26] At the 2022 PDC World Darts Championship, Dobey won his opening match 3–2 against Rusty-Jake Rodriguez.

[27] Dobey received a bye to the fourth round, where he lost 4–3 to Luke Humphries despite leading the match 3–1.

[30] He defeated José de Sousa in the next round and Dave Chisnall in the quarter-finals to reach his third televised semi-final.

[32] He defeated Martijn Kleermaker in his opening match before eliminating former World Champions Gary Anderson and Rob Cross.

[35] Dobey reached three consecutive quarter-finals in televised ranking events, beginning at the 2023 World Matchplay where he defeated James Wade and Michael Smith[36] before losing 16–12 to eventual champion Nathan Aspinall.

[40] In his full-time Premier League debut, Dobey won night one with victories over Peter Wright and Nathan Aspinall before winning a last-leg decider in the final against Michael van Gerwen with a 160 checkout.

[46][47] Dobey only registered two more wins in the latter half of the league stage and finished in seventh place after being overtaken by Dimitri van den Bergh, who won night sixteen.

[50] In April 2024, Dobey won his first Players Championship title since 2021 with victory in PC7, hitting a nine-dart finish along the way before registering a second-career highest average of 109.63 in the semi-final.