Koskinen stopped Andreas Athanasiou on a breakaway 21 seconds later at 13:09, and a video review confirmed the call on the ice that Athanasiou kicked the rebound into the net.
Athanasiou, who scored 30 goals last season, has not scored this season in 11 games.
"I don't know how many breakaways [Athanasiou] has had this season without scoring, but we all know that isn't going to continue," Blashill said. "He was great tonight, especially in the first period, and we know the goals will come."
The Oilers had a 4-on-3 power play for 1:34 after Larkin hooked Draisaitl at 13:35 of the third, and went with four forwards: McDavid, Draisaitl, Ryan Nugent-Hopkins and James Neal. Edmonton got three shots but couldn't get the tying goal.
"You don't practice that much, but we had worked on it this morning with the four forwards out there," Tippett said. "Then we get one in the game. We had chances, but we came up short. That's how the game went."
Nemeth said the Red Wings penalty-killers had a simple focus.
"We did a really good job of taking away the one-timers from McDavid and Draisaitl," he said. "After that, it was a lot of sticks and saves."
Hronek scored into an empty net to make it 3-1 with 42 seconds left.