The White Sox optioned Sousa to Triple-A Charlotte on Tuesday.
With holds in both of his last two appearances, Sousa appeared to be gaining traction in the late innings for Chicago, but he'll end up being swapped out of the bullpen for Joe Kelly (hamstring), who returns from a stint on the 15-day injured list. Through his 25 appearances with the White Sox this season, Sousa has largely been unreliable, as he's turned in an 8.41 ERA and 1.72 WHIP across 20.1 innings.