The native or Latvia went undrafted but signed a three-year entry level contract with the Blue Jackets prior to the 2017-2018 season, spending the majority of his time in the American Hockey League with the Cleveland Monsters.
Kivlenieks re-signed with a two-year deal prior to the 2020-21 campaign and appeared in eight games over the past two seasons with the Blue Jackets, posting a 2-2-2 record with a 3.09 goals-against average and a 0.899 save percentage.