Clutterbuck gave New York a 1-0 lead at 9:21 of the first period. With Carolina caught on a line change, Clutterbuck skated into the right face-off circle and ripped a wrist shot past Andersen for his first point of the series.
Sorokin kept the Islanders in front at 1:02 of the second period when he managed to glove Brady Skjei's wrist shot from the point that changed direction on its way to the net.
Andersen responded at 5:03 with a glove save of his own against Brock Nelson's wrist shot from between the circles during a New York power play to keep it a one-goal game.
"We had our opportunities," said Islanders center Bo Horvat, who had one goal and one assist in the six games. "We had our chances. [We] could have easily been up two or three goals."
Jesperi Kotkaniemi nearly tied it for the Hurricanes at 7:48, but his shot hit the crossbar after he was left alone in front of the net.
New York outshot Carolina 18-10 in the second.
"I thought we had some really good chances to make it 2- and even 3-(0)," Islanders coach Lane Lambert said. "But we didn't. Their goaltender made some saves, and that's just the way it goes."
NOTES: Aho has eight goals and 12 points in potential elimination games, the most in Hurricanes/Hartford Whalers history. … Carolina has won a best-of-7 series three years in a row, the longest such streak in franchise story. … Hurricanes defenseman Brent Burns played his 100th NHL playoff game. … Ryan Pulock had an assist on Clutterbuck's goal and led Islanders defensemen with four points in the series.