He'll throw about 75 pitches in the outing, and a third outing is possible, Padres manager Bud Black said.
Black said Stauffer felt good and was experiencing normal soreness on Monday, a day after he made his first rehab appearance. He allowed two runs and six hits, struck out three and walked none in 3 2/3 innings with Class A Lake Elsinore on Sunday. He gave up a run in the third inning and a run in the fourth inning.
"We talked a little bit today about his stuff," Black said. "His slider wasn't as good as he hoped, but it was a step in the right direction physically."
Stauffer went on the disabled list April 5, retroactive to April 4, for a strained right elbow.