[3] On 2 June 2017, after two seasons with Red Deer, Špaček completed his junior career by agreeing to a three-year, entry-level contract with the Winnipeg Jets.
[4] During the 2019–20 season, re-assigned to the Manitoba Moose of the AHL, Špaček appeared in 45 games posting 20 points assists before he was re-assigned by the Jets to join the Ontario Reign, primary affiliate of the Los Angeles Kings, on loan for the remainder of the season on 2 March 2020.
As an impending restricted free agent from the Jets, Špaček opted to halt his NHL aspirations by agreeing to a one-year contract in Finland with Tappara of the Liiga on 4 August 2020.
[8] Špaček made an immediate impact with Třinec, collecting 14 points in 16 playoff games to help the club claim the Championship.
As a free agent, Špaček joined his third European club within the year, agreeing to a two-year contract with Swedish outfit Frölunda HC of the SHL on 3 May 2021.