Signed on a minor league deal by the Rangers in early February, the 29-year-old was released last week after going just 3-for-33 in spring 13 games.
A former first-round pick, Jackson's once-promising career was seriously sidetracked in 2009 when a bout of Valley Fever forced him to miss all but 30 games for the Arizona Diamondbacks.
There's no telling whether the illness still affects Jackson, but his numbers haven't been the same since. Jackson hit .287/.367/.443 (104 OPS+) in four years prior to the illness but has hit just .241/.320/.336 (79 OPS+) in the two seasons since.
Jackson will begin the season with the White Sox Triple-A affiliate in Charlotte.
White Sox sign Conor Jackson to minor league deal | South Side Sox
The White Sox signed 1B/OF Conor Jackson to a minor league deal.