Dickerson, a left-handed hitter, was riding a 13-game hitting streak for Triple-A El Paso. He was batting .352/.405/.549 in 22 games this season.
Kirkman, meanwhile, was called up last Tuesday when the Padres needed to reinforce their bullpen after a series of short starts. He only appeared in one game, allowing four runs in 1 1/3 innings. The 29-year-old left-hander will need to clear waivers before rejoining El Paso.