The Twins drafted Slowey in the second round of the 2005 June Draft, and the Wichita State product has had nothing but success ever since. He was originally assigned to Elizabethton of the Appalachian League, but it did not take long for him to get a promotion. In his four Apply League appearances, Slowey worked exclusively out of the bullpen, and held the opposition to an .080 batting average.
Once he was promoted to Beloit, he went back into his natural role as a starting pitcher, and was one of the most dominant pitchers in the Midwest League. Facing full-season talent for the first time did not have any affect on Slowey, as he posted a 2.24 earned run average in 13 appearances. One of the best control pitchers in the organization, Slowey walked only eight batters in 64 innings, while striking out 69.
This season, Slowey has just been on another level while playing in the Florida State League for the first time. Teaming with Matt Garza to form one of the best one-two punches in the FSL to date, Slowey has again shown excellent control, while dominating the opposition. Even after all his success, Slowey is very modest when he spoke of his goals for the 2006 season.
"This year coming up, I am just hoping to progress in the organization, wherever that may be." Slowey told TwinCitiesDugout. "The Twins have some of the best Minor League pitching in all of baseball, so all I can do is keep at it, and see where the Twins think I fit in the best."
This season, Slowey has done a lot more than just progressing, as he has been almost unhittable. Showing that pinpoint control, Slowey has walked only two batters all season long, while striking out 34 in 29.1 innings of work. He finally got his first win of the season on April 30, and is currently holding batters to a .168 batting average.