Jon Merrill scored with a wrist shot from the left side at 9:35 to make it 5-0.
"I don't think they had it in the tank to push back," Jets coach Paul Maurice said. "We got sloppy for sure in the second. … We just weren't very good."
Matt Dumba made it 6-0, one-timing a pass from Marcus Foligno at 11:24 of the third period.
Dubois scored on the power play 15:08 to end Winnipeg's scoring drought of 164:41. The Jets have five goals in their five straight losses.
Kaprizov made it 7-1 at 15:22.
"We continue to talk about our depth and it's not one or two guys scoring," Wild coach Dean Evason said. "So lots been made of guys that don't score on our team, but not a lot's made of our depth scoring, or I assume. So that's a very good thing."
NOTES: Zuccarello did not return for the third period. Evason said it was precautionary, adding Zuccarello should be able to play when the Wild host the Tampa Bay Lightning on Sunday. … Kaprizov has scored 22 points (six goals, 16 assists), the most by a Wild skater through the first 20 games of a season. Marian Gaborik scored 21 points in the first 20 games twice (2001-02, 2002-03). …. Winnipeg ended an 0-for-13 power-play drought. … Jets forward Paul Stastny played 13:33 after missing eight games with a foot injury.