Curtis Lazar scored at 12:44, picking up a loose puck and beating Vejmelka on the blocker side to give the Devils a 3-1 lead.
Utah looked to answer quickly with a chance from Logan Cooley, but he was denied by Daws, who is 3-0-0 in three starts this season in New Jersey.
“They scored two big goals. I knew I needed to make a save for them,” said Daws. “They deserved it, and it was a hard shot. My glove almost came off.”
Hischier gave the Devils a 1-0 lead at 9:34 of the first period, as he tapped in a rebound off a shot from Luke Hughes.
“We played well from the get-go, and we knew we were going to just have to win one period and come out with points here,” Hischier said. “I think we just played really well all through the whole lineup.”
Sergachev tied the game 1-1 at 10:03 of the second period, scoring a one-timer off a pass from Liam O'Brien.
“Obviously, they're a great team,” said Sergachev. “They're pretty fast, too. So it was like two fast teams out there. They just scored more than we did.”
NOTES: Jack Hughes had an assist to extend his road point streak to 12 games, the longest in franchise history. … Hischier became the sixth Switzerland-born player to reach 400 NHL points, alongside Roman Josi (724), Nino Niederreiter (472), Kevin Fiala (466), Mark Streit (434) and Meier (420). Hischier (507 games) is the fastest among that group to reach the mark, passing Fiala (543). … Sergachev’s goal was his 11th of the season, a career high for the defenseman.