Pavelec stopped all 17 shots he saw in the second period with Winnipeg clinging to a 1-0 lead and wasn't dented until 3:16 into the final frame, when Shawn Thornton tipped in a pass from Daniel Paille.
The Jets responded 1 1/2 minutes later when Little collected the puck after a face-off at center ice, skated in alone on Tuukka Rask and slid it past him for what turned out to be the game-winner.
Andrew Ladd got Winnipeg's other goal as the Jets handed the Bruins their first regulation-time loss in 16 games while moving above .500 (12-11-4) for the first time this season.
Rask ended with 33 saves for the Bruins.
Attkisson leaves CBS News, reportedly over network's 'liberal bias'
Duggar sisters unveil Christian dating rules in new book