Sorokin made 27 saves in a surprise appearance after would-be starter Semyon Varlamov was injured during warmups when Cal Clutterbuck's shot hit him under the mask and above the left shoulder in the collarbone area.
Islanders coach Barry Trotz did not have an update on Varlamov's condition after the game. Sorokin was backed up by Cory Schneider, the third goalie on the Islanders roster.
"With Ilya, we hung him out to dry," Trotz said. "I don't think we played that well. Obviously, we put him in a real tough circumstance. We did it to ourselves injuring 'Varly' in the warmup. To me, it's almost unacceptable. To me, it's like running your quarterback over in warmup. Players got to recognize that your goaltender is almost your most important player on your team. You've got to get him warmed up. Guys are not thinking.
"It wasn't fair to Ilya, it wasn't fair to Varly, the way the guys warmed him up. It started in warmup and it just sort of carried over through the whole game."
Georgiev won his first start of the season, getting his fifth NHL shutout and second against the Islanders. He is 6-2-0 against them.
"A lot of work has been put in the last 10 months, a lot of gym, a lot of mentally staying sharp," Georgiev said. "I felt in [training] camp my game was good. [I] came confident into the game and brought the same game as in the camp to this game."