"I don't want to burn out my veteran guys this early in camp," Yost said. "Because of the [World Baseballl Classic], we're starting a week early. We've got plenty of time to get everyone ready."
Right-hander Kyle Zimmer, the team's No. 9 prospect, will get the start Sunday against the Rangers.
Staumont will be followed by right-hander Jake Junis, the team's No. 6 prospect. Both Staumont and Junis will throw two innings or 35 pitches.
Staumont has impressed Yost early in camp.
"Everything comes out pretty free and easy," Yost said.