Mark Scheifele scored for Winnipeg (8-5-1), and Hellebuyck made 27 saves.
"It's just communication," Jets coach Paul Maurice said of the winning goal. "[Hellebuyck has] got the right to go and stop that puck, so it doesn't get jammed on the wall. He thinks [Derek] Forbort is coming back to play it, so he leaves it. Forbort's going into the corner because he thinks Connor's going to give it to him. And then the puck rolled into the trapezoid so Connor can't move it after that."
Winnipeg forward Pierre-Luc Dubois did not play because of a lower-body injury. Ottawa goalie Matt Murray did not play because of an upper-body injury sustained Thursday.
Scheifele made it 1-0 at 5:43 of the second period to extend his point streak to six games (eight points; three goals, five assists). He has at least one point in 12 of 14 games this season, including two assists Thursday.
"They clogged up the slot, they made us work for our ice," Scheifele said. "They made it hard on us, and when a team makes it hard on you like that, you've got to find ways to create some offense and create some loose pucks and get in front of their goalie. And we just didn't do it enough."