The White Sox outrighted Bido to Triple-A Charlotte on Saturday.
Bido cleared waivers after being designated for assignment Friday and appears poised to stick around in the organization as a swingman depth at the Triple-A level. Between big-league stops with Atlanta and Chicago this season, the 30-year-old right-hander delivered a 6.27 ERA, 1.34 WHIP and 11:10 K:BB over 18.2 innings in 11 appearances out of the bullpen.