The versatile Lillibridge, 29, was batting .317 this month. He's played all infield positions plus the outfield, and has spent time with the White Sox, Cubs, Indians, Braves, and Red Sox.
He signed as a free agent with the Cubs in January.
Carrie Muskat is a reporter for MLB.com. She writes a blog, Muskat Ramblings, and you can follow her on Twitter @CarrieMuskat. This story was not subject to the approval of Major League Baseball or its clubs.