It was the first power-play goal of the season for the Islanders, who ranked 30th in the NHL with the man-advantage last season (15.8 percent).
“I think we've definitely had our looks. We've been really working on it,” Dobson said. “It’s nice to get rewarded, and I think that’ll bode well for the confidence moving forward. I think we got the schneid off our back. We got to build on it and keep getting better."
New York outshot Arizona 24-7 through the first two periods.
"I don't think we shot enough pucks," Coyotes forward Jason Zucker said. "... I thought we did a lot of good things. We forechecked hard, we got pucks back, we were playing fast. I think our mentality is to hold on to pucks a little too long. We have to start getting some pucks on net."
NOTES: Sorokin got his 17 NHL shutout, passing Rick DiPietro for third in Islanders history. Glenn Resch is first with 25, and Billy Smith is second with 22. ... New York forward Matt Martin played his 900th NHL game, finishing with two hits in 7:39 of ice time. ... Islanders defenseman Scott Mayfield did not play because of a lower-body injury. ... Arizona will conclude its season-opening four-game road trip at the St. Louis Blues on Thursday.