The White Sox optioned Davis to Triple-A Charlotte on Sunday.
The right-hander has struggled in June with six runs allowed and a 4:4 K:BB in seven appearances, so he'll be the odd man out as Jordan Hicks (lat) comes off the injured list Sunday. Davis has made 22 appearances this year in his first taste of the majors and has a 4.63 ERA, 1.24 WHIP and 20:13 K:BB over 23.1 innings.