"We score a lot of goals; we're one of the highest-scoring teams in the league," coach Peter Laviolette said when asked about the shootout woes. "I'm not sure I have an answer."
It was the Flyers' third straight shootout. They split the first two, losing to Boston and beating Florida.
"We have a lot of skill up front, and I don't know if guys are gripping the stick a little too much," center Brayden Schenn said.
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.
"We played good in spurts, but you can't win like that," winger Scott Hartnell said.
The Flyers have not beaten a team from Winnipeg in Philadelphia since 1996.
With 8:38 left in regulation and the game tied at 1-1, Pavelec made a great stop on 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 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.