The Dane, a two-time runner-up at Flushing Meadows, claimed a 6-0 6-2 victory over Sevastova, who battled a right ankle injury.
Unseeded after an average year heading to New York, the win means Wozniacki is into a US Open semi-final for a fifth time.
The last-eight clash at a quiet Arthur Ashe Stadium was rarely a contest, with Wozniacki only challenged in the opening games.
Her good start turned into a 31-minute first-set win, and that included a medical timeout for Sevastova as she required treatment.
In her maiden grand slam quarter-final, Sevastova – who came out of retirement at the start of 2015 – seemed only to continue because of the occasion.
Wozniacki kept her concentration, however, and was ruthless to set up a final-four clash with world number two Angelique Kerber.
Kerber leads their head-to-head 7-5, but Wozniacki holds the upper-hand 5-4 on hard courts.
STATISTICAL BREAKDOWNWozniacki bt Sevastova 6-0 6-2
WINNERS/UNFORCED ERRORS Wozniacki – 14/5Sevastova – 11/30
ACES Wozniacki – 2Sevastova – 1
BREAK POINTS WON Wozniacki – 5/11Sevastova – 0/0
FIRST SERVE PERCENTAGE Wozniacki – 80Sevastova – 58
PERCENTAGE OF POINTS WON ON FIRST/SECOND SERVE Wozniacki – 70/75Sevastova – 42/37
TOTAL POINTS Wozniacki – 56Sevastova – 30
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