The 23-year-old was under contract with the Columbus Blue Jackets this season. As the 2020-21 NHL season will likely start in December and the postseason of the 2019-20 season is still ongoing, it will take some time before negotiations for the next season can start.
Thürkauf is a restricted free agent. His current NHL team will thus have to make a decision whether to qualify him or not. The Swiss forward made his NHL debut this season, suiting up in three games for the Columbus Blue Jackets.