The Sox also came to terms with left-handed pitchers Corey Littrell (fifth round), Jake Drehoff (12th round), and Gabe Speier (19th round), as well as outfielder Jordon Austin (sixth round).
Sixteen of Boston's first 40 selections have signed, including 11 of the first 15.
Ian Browne is a reporter for MLB.com. Read his blog, Brownie Points, and follow him on Twitter @IanMBrowne. This story was not subject to the approval of Major League Baseball or its clubs.