The 6-foot-3 outfielder is a native of Stillwell, Kan.
Milwaukee selected high school players with five of its first seven picks, and MLB.com analyst Jim Callis said that Meyer could free up money for the Brewers to go after higher draft picks.
"He's a fourth-year junior, so he probably gets treated equivalent to a senior sign," Callis said. "That frees up some money and helps you sign some of the high-ceiling guys you took earlier in the draft."
The Draft concludes on Saturday, with exclusive coverage of Rounds 11-40 beginning on MLB.com at noon CT.
Caitlin Swieca is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.