The Wings spotted the Blackhawks a 4-1 lead before storming back to tie the game in the second period.
Although the Wings carried more of the play in the third, neither team scored, sending it to overtime.
The extra time did not last long as Brandon Hagel scored 43 seconds into overtime for the 5-4 victory.
Ryan Kuffner (power play), Jarid Lukosevicius (power play) and Joe Veleno (unassisted breakaway, power play) scored for the Wings.
Mikael Hakkarainen, Kirby Dach, MacKenzie Entwistle and Jack Ramsey were the other Blackhawks scorers.
Detroit goaltender Kaden Fulcher, starting in place of the injured Filip Larsson, had 19 saves.
Chicago goalkeeper Alexis Gravel had 27 saves.
The Wings play the St. Louis Blues Saturday at 3:30 p.m. while the Blackhawks take on Toronto at 3 p.m.
1. Joe Veleno: it is quite clear that Veleno's confidence has skyrocketed in a year's time. He had a successful first prospect tournament last year after being drafted in the first round, 30th overall, in the 2018 draft. Then he went on to have a truly elite season in his final year in the Quebec Major Junior Hockey League, posting 42 goals and 62 assists in 59 games for the Drummondville Voltigeurs. All the while, he remained in contact with Shawn Horcoff, the Wings director of player development (and now also assistant director of player personnel), and Dan Cleary, assistant director of player development, who guided him toward his goal of becoming a more complete player. Veleno helped the Wings rally from their 4-1 deficit, scoring twice in the second period. His first goal came unassisted on a steal and breakaway and his second came on the power play. The power-play goal was assisted by Filip Zadina and Taro Hirose, his linemates throughout the game and with the man-advantage.