Blake Swihart, who made his Major League debut on Saturday in Boston's 4-2 loss to the Yankees, is expected to get most of the starts behind the plate.
It isn't clear yet if backup Sandy Leon will get more playing time with Hanigan out of the mix.
Hanigan suffered the injury off a ricochet on Friday night after Mark Teixeira was hit by a pitch.
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.