The Flyers, who dropped 9-8 and 6-4 decisions to the Jets earlier this season, have lost nine of their last 10 against Winnipeg (formerly Atlanta), going 1-6-3 in that stretch.
The Flyers have not beaten a team from Winnipeg in Philadelphia since 1996.
With 8 minutes, 38 seconds left and the game tied at 1-1, Pavelec made a great stop on Scott Hartnell after he took a pass from Giroux on a two-on-one.
The Flyers were given a too-many-men-on-the-ice penalty with 4:18 left, but Winnipeg did not manage any shots with the man advantage.
Winnipeg's Andrew Ladd was alone in front with just under a minute left, but his shot hit the outside of the post as a lunging Ilya Bryzgalov stretched his stick across the crease.
The Flyers outshot the Jets, 28-24.
Little broke in alone 45 seconds into overtime and rifled a shot off the post.
The Flyers' best overtime chance came with 13.5 seconds left. Defenseman Andrej Meszaros cleverly maneuvered around a defender and near the left circle, but he fired the shot wide.
Before Tuesday, the last time the Flyers and Jets played at the Wells Fargo Center, they combined for 17 goals in Winnipeg's 9-8 win.
So, naturally, the teams couldn't get off a shot on goal, let alone score, for most of Tuesday's first period. There were 19 blocked shots in the period, including three by the Flyers' Kimmo Timonen.
Winnipeg, playing without injured all-star defenseman Dustin Byfuglien, managed its first shot with 9:24 to go - and Bryzgalov made a nice glove save on Blake Wheeler's left-circle drive.
The Flyers, who had 48 shots in that Oct. 27 loss, didn't put a puck on net until 6:24 remained in the first period. Pavelec made an easy save on Jakub Voracek's drive.
While on the power play, the Flyers took a 1-0 lead as Brayden Schenn, after taking a feed from Matt Carle, scored on his own rebound. The rookie knocked the puck away from Pavelec's pads with 4:49 left in the period.
