In 2012, Björk became the first golfer to list himself through Trade in Sports, an exchange for athletes, funding the launch of his professional career by pledging 10% of winnings to investors.

[3] In 2013, he won the Arlandastad MoreGolf Open and finished 6th in the Nordic Golf League rankings to earn promotion to the Challenge Tour.

During 2022, Björk surpassed €5 million in career earnings, but struggled with a back injury and missed the latter part of the season.

[10] After three months of rehab, he returned to tour for the 2023 UAE swing, where he finished joint runner-up at the Ras Al Khaimah Championship, one stroke behind Daniel Gavins, missing out on a playoff after a bogey on the final hole.

[11] In September 2023, Björk was solo runner-up at the Omega European Masters, two strokes behind compatriot Ludvig Åberg who birdied four of the closing five holes to record his first win as a professional.