Greiss made 16 saves for the Islanders in a 4-0 win against the Philadelphia Flyers in Game 7 of their second-round series at Scotiabank Arena in Toronto on Saturday.
It was his third game of the Stanley Cup Playoffs (second start); he is 2-1 with a 1.08 goals-against average and .960 save percentage.
"You've seen what we've done the last two years, we rely on both our goalies," Islanders coach Barry Trotz said Monday.
Greiss was 16-9-4 with a 2.74 GAA and a .913 save percentage in 31 games (29 starts) during the regular season.
Varlamov, who is in the first season of a four-year contract, was 19-14-6 with a 2.62 GAA, a .914 save percentage and two shutouts in 45 games (39 starts).
Thomas Greiss was the starting goalie for the New York Islanders against the Tampa Bay Lightning in Game 1 of the Eastern Conference Final at Rogers Place in Edmonton on Monday but was pulled after allowing three goals on nine shots.
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