Elliott made 26 saves for the Flyers (8-7-2), who went 0-for-3 on the power play and were shut out for the fourth time this season.
The Wild (7-7-2) and Flyers will play at Minnesota on Tuesday.
Dubnyk extended his shutout streak to 136:20, dating to the third period against the Maple Leafs. He made 41 saves against Montreal.
"[Dubnyk] was playing great again," Zucker said. "Looked like he did last game. He was steady, he was calm, and that's huge for us. When your goalie is like that back there, that's great. I think we're all fumbling the puck a little bit but knowing he's back there playing well is huge for us."
The Wild ended a five-game losing streak (0-4-1) against the Flyers, dating to Nov. 20, 2014.
Minnesota had 18 blocked shots, including three in the final minute when Elliott was pulled for an extra attacker.
"We got some chances, we just didn't bury them," Flyers forward Wayne Simmonds said. "Dubnyk played well. They played five guys packed in, in front of the net. We probably needed to pop a guy out or pop a guy up top or something like that. Thought we played a good game, just couldn't execute and get a puck in the net."