Florida, which improved to 13-5-7 at home, moved three points ahead of second- place Washington in the division standings. The Jets are five points off the pace.
Bryan Little had the lone goal for Winnipeg, which was vying for its first three-game winning streak as the visitor since December 4-13, 2010. The Jets fell to 2-3-0 on their six-game road trip.
Chris Mason made 28 saves in defeat.