The White Sox have one of the highest rated farm systems in the game and a number of positions appear to have plenty of prospects to fill those spots for years to come. The bullpen is not one of those areas.
The only young reliever on the current White Sox bullpen having success is Jace Fry. In the minors, Zack Burdi is a highly-regarded prospect and potential closer of the future, but he hasn't pitched in nearly a year due to Tommy John surgery.
Ian Hamilton is a name that White Sox fans may not be familiar with unless they follow the farm system somewhat closely, but he could be pitching in the majors this year.