Frare had his contract purchased by the White Sox on Saturday.
Frare spent the bulk of the season at Double-A Trenton with the Yankees -- where he dominated with a 0.62 ERA, 0.92 WHIP and 57:15 K:BB over 43.2 innings -- before being acquired by the White Sox. The 25-year-old similarly allowed only one run across 12.2 innings with Triple-A Charlotte and now will join the White Sox bullpen for the final month of the season.