Perreault had his second power-play goal in the past three games when the Jets went 1-for-1 against the Lightning on Sunday.
Morrissey, who filled in on the first power-play unit when Byfuglien missed four games with an upper-body injury Nov. 29 to Dec. 4, said what makes the Jets' power play work so well is that it involves elite decision-makers.
"Mostly, it's about doing what we do best," Morrissey said. "We always talk about ... see the play that's there and make the play that's there. And we have high-end skill players that when they have to ad lib or adjust in a split second, they're able to do it."
Morrissey said the Jets are blessed with skilled players with hockey sense that can find openings.
"We're fortunate here that we've got some really high-end skill players, some high-end shooters, so again, when you have one extra guy, they can't cover everything," he said. "You have to take what they give you and those guys that are sort of the quarterbacks do a very good job of realizing what they're giving you and reading that defensive coverage."
With power-play goals in 26 of 33 games, including a streak of 11 straight games with at least one between Oct 14 and Nov. 9, the Jets have been able to make their plays and get their looks.
Winnipeg starts a three-game road trip with a game against the Los Angeles Kings at Staples Center on Tuesday (10:30 p.m. ET; TSN3, FSW, NHL.TV) with its confidence in the power play on the rise. It was also productive with the man-advantage in 2017-18, ranked fifth at 23.4 percent.
"We're starting to find our identity and starting to figure out our team a little bit and when things don't go right, we don't stray from what we know best," said Scheifele, who scored the game-winning goal against the Lightning and has three overtime game-winners in the past nine games and 21 goals this season. "That's the biggest thing we need to continue to think about and that's how we'll grow.
"The power play is going to change every game. We're on a good roll right now but we're going to go through a stretch when we don't score during the season. It's a matter of not getting away from what we do best and remembering those good times and fixing it when we're a little off."