Perreault had a goal and two assists as the Jets snapped a six-game slide with a 5-3 win over the Colorado Avalanche on Sunday night.
''Teams are catching up to us, so those points were huge tonight,'' Perreault said. ''We played like it was and thankfully we played well enough to win.''
Perreault's goal was his 18th of the season, tying a career high set last year in Anaheim as a member of the Ducks.
''It's been a great year,'' he said. ''I've been having a lot of fun and the team is starting to do well again and did well for a while.''
''It seems like every game is huge right now,'' said Little, who also added an assist. ''It's nice to finally get out of this hole and hopefully we can kind of generate something now.''
''The last push here is on,'' Jets coach Paul Maurice said. ''We got back to our game.''
Barrie opened the scoring for the Avalanche at 10:56 of the first period. The Jets were already scrambling on a delayed penalty call when Barrie scored his sixth from the high slot.
''We were very happy with the start of the game,'' Avalanche coach Patrick Roy said. ''It was our second game in less than 22 hours, so we were pleased with the first period. The rest of the game, the second and third, we had too many turnovers and giveaways and they scored on their power play.''
Barrie's score ended Colorado's goal drought at 136:16. Barrie was also the last Avalanche player to score in a 3-2 shootout win over the Dallas Stars last Tuesday.
The Jets responded in the second, scoring four straight goals.
Perreault tied the game at 1 with 2:04 gone, shoveling home his 18th after some good work by Byfuglien and Scheifele to create the scoring chance.
Byfuglien's efforts paid off a few minutes later as he got a stick on a point blast from Little on the power play. Byfuglien's 13th of the season gave the Jets a 2-1 lead at the 5:42 mark.
Chiarot made it 3-1 on his second career NHL goal.
Little fired home his team-leading 21st to give the Jets a commanding 4-1 lead heading into the third period.
Duchene and Tanguay added goals in the third for the Avalanche, while Trouba tacked on one more for the Jets.
''We dropped the ball in these two games,'' Colorado's Nathan MacKinnon said. ''We have a lot of games left, but it is no fun losing, especially in crunch time.''