Svozil was promoted from AHL Cleveland on Friday.
Svozil logged two NHL games for the Jackets last year in which he tallied one assist, three shots and one hit while averaging 20:07 of ice time. The 21-year-old blueliner has shown an offensive touch in the minors, racking up 23 points in 57 regular-season games last year, but he will need to bring it with him to the NHL level.