The person spoke to The Associated Press on Sunday on the condition of anonymity because the deal has not been announced, confirming reports by several outlets.
The contract includes a club option for 2014.
The hard-throwing Lindstrom gives the White Sox another reliever to help set up closer Addison Reed. The right-handed Lindstrom pitched a combined 47 innings for Arizona and Baltimore last season, posting a 2.68 ERA with 40 strikeouts and 14 walks. Lindstrom is 13-15 with a 3.64 ERA over six seasons.
Source: Associated Press