New Jersey's 17 shots on goal were a season low.
The Red Wings were without forward Dylan Larkin, who is out for the season after having core muscle surgery April 18, and forward Robby Fabbri (knee).
"Obviously, both teams are missing a number of key players so it's a different kind of game than it would be if both teams were at full strength," Red Wings coach Jeff Blashill said. "There's going to be some limited offensive firepower, so you got to find a way to get a goal and ultimately we did."
Sundqvist gave Detroit a 1-0 lead at 15:48 of the first period on a snap shot from the right face-off circle following a turnover.
"Sundquist didn't feel great today, was still in pain (after blocking a shot against Pittsburgh), and he puts his gear on and makes sure he goes out and plays really hard, good hockey," Blashill said. "That's the type of example I think a number of our young guys need to have.
"Ultimately, what we'd like to do here is go on playoff runs and if you're going to do that you're going to have to learn how to play when you don't feel your best."