Florimon, who singled to lead off the third inning, injured his finger while sliding into third base while advancing on a single from Jamey Carroll.
Florimon scored on an RBI single from Joe Mauer but was examined by head trainer Dave Pruemer upon coming back to the dugout.
He was then replaced by Eduardo Escobar at shortstop in the bottom of the third inning. It left the Twins' bench thin, as fellow infielder Trevor Plouffe is on the 7-day DL with concussion-like symptoms.
Rhett Bollinger is a reporter for MLB.com. Read his blog, Bollinger Beat, and follow him on Twitter @RhettBollinger. This story was not subject to the approval of Major League Baseball or its clubs.