Salo got a cut lip on the play, but remained in the game.
Twice the Jets were called for minor penalties during Thorburn's 5-minute infraction, which resulted in 5-on-3 goals by Stamkos (14:11) and Lecavalier (16:55).
Winnipeg allowed three power-play goals in Thursday's loss to the Panthers.
Conacher made it 4-0 with another re-direction just 26 seconds into the second.
Thompson extended the lead to 5-0 on a goal that chased Pavelec with 15:17 left in the second. Purcell gave the Lightning a six-goal advantage by beating backup goalie Al Montoya one minute after Thompson's goal.
"We've got two choices," Winnipeg left wing Alexei Ponikarovsky said. "Choice 1 is to pout and complain and moan about taking too many penalties. The second choice is go home, improve collectively and individually. That's going to have to be our focus."
Anders Lindback lost his shutout bid when Enstrom scored at 5:34 of the third. Postma added his first NHL goal, coming on a power-play 61 seconds later.
"It's kind of a different situation to get it, but regardless, it's nice to get that first one, get it out of the way," Postma said. "It's definitely a special goal and one I won't forget."
Malone and Ladd traded goals midway through the third. Pouliot added a late third-period goal.
Notes: Stamkos has a goal in four straight games. ... Jets D Dustin Byfuglien missed his second consecutive game due to an undisclosed lower-body injury. ... Tampa Bay D Brendan Mikkelson is day to day after crashing into the boards head and shoulders first during practice on Thursday. ... Postma and Enstrom both had two assists.