Jump relied heavily on his four-seam fastball, throwing it for nearly half of his 96 pitches while mixing in his slider, changeup, sweeper, and curveball.
"The game plan today was attacking them over and over again," said Jump, the Athletics' No. 3 prospect.
"I thought [catcher] Shea [Langeliers] did a great job of helping me trust him and relax."
The rookie pitcher induced soft contact throughout the outing, limiting Houston to an average exit velocity of 85 mph and only six hard-hit balls.
"I think it's just the mentality and mindset of going straight after them," Jump said.
"I know the stuff plays, and whether I give up a hit or a home run, a double, just keep going."
Oakland manager Mark Kotsay praised the young starter for building on his previous outing on June 2 against the Cubs.
"Just another solid performance," said Kotsay.
"Following the Cubs outing, to piggyback another good one, that's just a great sign from a young starter that is really showing us confidence in terms of just getting into games, being able to get outs quickly.
To get into the seventh inning today, I thought was exceptional. Not a ton of punchouts, but to manage the game the way he did was great."
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Kotsay emphasized the value of the soft contact Jump generated, noting that the ability to prevent runs remains a vital pitching craft.