The White Sox optioned Lambert to Triple-A Charlotte on Tuesday.
He was one of nine players optioned or reassigned Tuesday in the latest round of the White Sox's cuts from big-league camp. Lambert is expected to slot into the Charlotte rotation for the second year in a row after producing a 4.76 ERA and 1.26 WHIP in 64.1 innings across 19 starts. The 27-year-old will be an option to make spot starts for the big club in 2022 if the White Sox's rotation depth should be tested at any point.