Sugiyama needed just 67 minutes to advance to the second round of the U.S. Open with a 6-3 6-1 rout of Slovenian qualifier Andreja Klepac on Monday.
Sugiyama, seeded 28th, broke Klepac in the opening game of the match and never looked back.
"The first two games were the key," Japan's Sugiyama said. "She was serving in the first game and led 40-15 but I broke her right away.
"In the next game, I'm serving and she had two break points at 15-40 but I held my serve. "So I go up 2-0 and I started to get into a rhythm. It was very huge."
The 32-year-old, ranked 30th in the world, was never broken and held a 63-39 advantage in overall points won.
"I'm pleased with the way I played today," she said. "I always get tight at the first match (of the tournament). But today was no problem."
In the second round, Sugiyama will face Russian Ekaterina Makarova, who defeated Julie Schruff of Germany 6-1 0-6 6-2.
Sugiyama is playing in her 14th consecutive U.S. Open but has never advanced past the fourth round.