Bursik spent virtually his entire youth playing for AFC Wimbledon before moving to Stoke City in 2017. At the English tradition club, which has played in the English second division since 2018, he was loaned out to several clubs. The goalkeeper was under the crossbar at Telford United, Accrington, Doncaster Rovers, Peterborough and Lincoln City. At the beginning of the 2021/22 season, Bursik seized his chance as first goalkeeper at the English second division club.
On January 14, 2023, Blue-Black plucked the English promise international away from England. The Briton is fixed with Club until mid-2027.