The most MLB-ready player in this past draft was thought to be NC State left-handed pitcher Carlos Rodon. He's already in High-A ball, but that's a far cry from the majors. Still, WhiteSox.com reports that "there's a better-than-average chance" that Rodon gets the call to the majors this season.
The writer makes a comparison to Chris Sale, who was drafted by the White Sox in the first round in 2010 and appeared in only 11 games in relief in the minors before debuting in the bigs on Aug. 6 and appearing in 21 games in relief that season. As we all know, Sale successfully transitioned to starting pitcher and is among the league's elite arms at this point.
Rodon has appeared in five games so far -- two starts -- working nine innings in his pro career. He has a 4.00 ERA, 1.33 WHIP and 13 strikeouts against four walks. He'll probably have to be a bit more dominant and do so against at least Double-A bats, but a September callup isn't out of the question.
Here's some footage of a Rodon K: