Maybe that's one of the downfalls of making two deals with a team over a matter of days: a club can get to know a lot about your assets.
The White Sox first acquired center fielder Adam Eaton from the Diamondbacks in early December and then acquired third baseman Matt Davidson from Arizona a week later.
Rodriguez was designated for assignment last week when the White Sox made the signing of left-handed reliever Scott Downs official. To keep Rodriguez the White Sox first had to slip him through waivers, but were unsuccessful.
Rodriguez pitched as high as Triple-A Charlotte in each of the past two seasons. He made 18 relief appearances with the Knights last season, posting a 7.30 ERA after posting a 2.35 mark in 15 appearances at Double-A Birmingham.