Adcock cleared waivers Wednesday and was sent outright to Triple-A El Paso.
Adcock was DFA'd by the Padres on Sunday to make room for Blake Hunt, but the former will officially remain in the organization after passing through waivers unclaimed. The 29-year-old Adcock has turned in a 7.15 ERA and 1.59 WHIP across 11.1 innings between three of San Diego's minor-league affiliates this year, and he's likely to spend the vast majority of what's left of the season in the minors.