Sevastova said she'd watch Tuesday night's match with interest to see who emerges as her last-four foe.
Stephens struggled throughout in a match that saw just three of the 17 games played won from the end of the court in the full glare of the sunshine, losing 6-2, 6-3. "That's the most important thing to me", she continued. We showed some nerves in the end but it's normal.
Pliskova is the last woman to beat Williams at the U.S. Open, eliminating her in the semifinals two years ago.
Stephens was an 83rd-ranked outsider when she roared to the title past year, cementing her return from an 11-month injury absence.
She has had her best results in her second career, particularly in NY, where she has now reached the quarter-finals twice and the semi-finals once in the last three years.
Obviously from three, there's only two more spots to go.
The 14-year-old comes into this tournament as the second-ranked junior in the world after winning the girls' French Open title earlier this year.
"But in the end it's fantastic, yes? After I stop, I will look back and be proud of myself, I am sure".
"I hope I will enjoy it, playing semi-finals". On Tuesday, she advanced to her first Grand Slam semi-final.More news: PM Imran Khan formally kicks off 'Plant for Pakistan' drive in Haripur
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The 28-year-old Sevastova, who avenged last year's quarter-final loss to Stephens in NY to reach her first Grand Slam semi, converted five of her eight break points and saved seven of the nine against her.
Sevastova is one of the wiliest players on tour, mixing up slices, spins and angles and generally making life very uncomfortable for a player like Stephens who feeds off consistency of pace. There were only a few more games that Sevastova had to do in sealing the round and Stephens' unforced errors were part of the problem which kept appearing like an unwanted guest at a celebration.
Stephens, 25, put pressure on her opponent's serve throughout the first set, but failed to convert any of the seven break points in her favor. "Bad sinus infection. Whatever".
The Open announcers said that she was battling a cold, and the absolutely stifling conditions weren't helping her energy level.
"I just really couldn't get anything to connect".
"It was a really tough day and the heat didn't make it anymore fun". The heat doesn't make it any more fun. I didn't play my best.
The third seed, Stephens, runner-up to Halep at the French Open, was looking forward to taking on Sevastova again in her bid to push ahead in her title defense.
"I really feel like right now I'm playing free because I was having a baby this time previous year, so I have nothing to prove", said Williams, who is seeking her first major title since her daughter Olympia was born on September 1 of 2017.