Stauffer will pitch for either Class A Lake Elsinore, which will be playing at home, or Triple-A Tucson, which will be playing in New Orleans, Padres manager Bud Black said.
Stauffer was encouraged by his last outing. He allowed a run and six hits in five innings for Tucson on Friday. He struck out one and walked none. He threw 70 pitches, 50 for strikes.
"It was good getting the work in and getting up and down five times, getting in a competitive atmosphere again," Stauffer said. "I felt pretty sharp for the most part. I was able to throw strikes and kept the ball down a little better this time."
Stauffer went on the disabled list April 5, retroactive to April 4, for a strained right elbow. In his first rehab outing, he allowed two runs and six hits, struck out three and walked none in 3 2/3 innings with Lake Elsinore.
"I was definitely happier with the pitches I was making and repeating my delivery I think a lot better [Friday]," Stauffer said.
"[The slider] was better," Stauffer added. "Fastball command was better. Everything was a little bit lower than the previous start."