"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."
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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.
"It's a huge honor," Staumont said. "It's phenomenal to even be able to play for this team in the first place. It's a chance to get more work in."
Will he get too amped up for the start?
"I'm from Southern California," Staumont said. "We're slow. We take things easy. I don't get too amped up for things."
Staumont has impressed Yost early in camp.
"Everything comes out pretty free and easy," Yost said. "And he still is hitting 97 or 98 [mph]."
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Also slated to pitch Saturday are right-handers Yender Caramo, Luke Farrell, and Andrew Edwards, left-handers Eric Stout and Jonathan Sanchez and right-hander Al Alburquerque.
On Sunday, Zimmer will be followed by right-hander Miguel Almonte, left-handers Scott Alexander and Jonathan Dziedzic, and right-handers Malcom Culver, Brandon McCarthy, Brandon League and Bobby Parnell.
On Monday, left-hander Jason Vargas will start against the Mariners in Peoria, Ariz. Vargas will be followed by right-hander Joakim Soria, left-hander Mike Minor and right-hander Chris Withrow.
Left-hander Danny Duffy, likely the Opening Day starter, will pitch Tuesday against the Brewers in Maryvale, Ariz. Left-hander Matt Strahm will follow him.
Right-hander Nathan Karns will start against the Cubs on Wednesday in Surprise, while right-hander Chris Young will start Thursday against the Rockies in Surprise.