Dan Cleary assisted on Mike Modano's tying goal, and Justin Abdelkader -- playing his second game of the season after missing the first eight with a rib injury -- scored the winner 12:08 into the second period.
"I thought Cleary was fantastic in the first (period), I thought Modano was good and then obviously Abby scoring the goal by just being big and physical down low," coach Mike Babcock said. "It gave us four solid lines."
The 6-foot-2, 215-pound Abdelkader adds size to a forward unit that specializes in winning battles along the boards.
"It feels great," Abdelkader said. "I think our line can be successful when we can hang onto pucks, cycle down low (and) bring it to the net. It's going to open up a lot of things."
Detroit had scored a power-play goal in eight straight games before going 0 for 7 against Calgary.
The Wings could get right back on track on the power play against Edmonton, the NHL's worst penalty killing team at 68.8 percent. The Oilers have given up at least two power-play goals in four of five games, allowing a pair in a 4-3 loss to Vancouver on Wednesday.
Edmonton (3-5-2) has one win in its last eight games.
"You can't spot any team in the league three goals, or they're going to beat you," Jones said. "I don't think there's any doubt that if we played three periods like we did the last two we'd be laughing in here with two points."
Nikolai Khabibulin has gone 1-5-1 with a 4.15 GAA in his last seven starts. He has given up at least four goals in four straight games, while Edmonton has been outshot in its last five.
The Oilers won an NHL-low 27 games in 2009-10, but took three of four from the Wings.
AccuScore has powered more than 10,000 simulations for every NHL game on ESPN.com, calculating how each team's performance changes in response to game conditions and opponent's abilities. Each game is simulated and the game is replayed a minimum of 10,000 times to generate forecasted winning percentages.