Bundy, who was the No. 4 overall pick and top high school player taken in the 2011 First-Year Player Draft, mowed through the competition at Delmarva.
The right-hander did not allow an earned run in 30 innings, surrendering only five hits and two walks while striking out 40.
"What's important are the skills he develops to become a Major League pitcher," executive vice president of baseball operations Dan Duquette said of Bundy, who will stay in the range of 125-130 innings in his first pro season.
Bundy boasts a fastball that has been clocked as high as 99 mph, but he was struggling to work on his changeup against hitters who couldn't catch up to his heat. In five shutout innings against Hagerstown on Sunday, Bundy threw only one changeup and two curveballs in 58 pitches.
"He can get players out because he has an exceptional fastball," Duquette said. "We want him to get where he needs to be to be a Major League pitcher, and that means working on changing speeds and his breaking pitches."
Duquette also said on Tuesday that director of pitching development Rick Peterson has likened Bundy's first taste of pro ball to his "freshman year," a thinking that supports the organization's slow-moving plans for the young righty.