The Avalanche (3-3-0) outshot the Jets 20-4 in the third period, but Hutchinson made several big saves, including three against Gabriel Landeskog and two each against Jarome Iginla and Blake Comeau.
"We knew they were going to have a push at some point and our guys did a great job," Hutchinson said. "They had a lot of shots in the third, but I don't think that's indicative of how our team played. I was happy with my game, but it wasn't a perfect game. I left some rebounds in areas where you don't want to put them."
The Jets played the second game of back-to-back nights after defeating the Dallas Stars 4-1 on Thursday. It was their fourth game in six days.
The Avalanche hadn't played since a 5-2 road loss to the Florida Panthers on Saturday. The game was their second of the season at home and their first since a season-opening 6-5 win against Dallas Oct. 15.
"We knew with having all those days off there was a chance they could come out with a little bit of a slower start," Hutchinson said. "With us playing last night it was important to jump on them early, and our first period was great. After that, we started battling. It isn't an easy task and it was exactly what we had to do to get the win."