Sloane Stephens of the United States reached the US Open semi-finals on Tuesday with a 6-3, 3-6, 7-6(4) victory over Latvia’s Anastasija Sevastova.

She will play US ninth seed Venus Williams for a place in Saturday’s final.

Stephens has won 13 of her past 15 matches and matched her 2013 Australian Open semi-final run for best Slam effort.

“This is just incredible,” Stephens said. “When I started my comeback at Wimbledon I could never have dreamed of coming back and having these results. It’s indescribable.”

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Sevastova, who matched her best major run from last year at New York by ousting Maria Sharapova to reach the last eight, led 3-1 in the third set before Stephens rallied.

“I just told myself to keep fighting and stay consistent,” Stephens said. “I knew if I just stick with it and stayed in every point I’d have my opportunity and I did.

“I was able to play loose and ‘Bam’, here we are.”

In the tie-breaker, Stephens took four of the last five points, three on Sevastova errors before hitting a down-the-line backhand winner ensured her win gto reach the top 35 in next week’s rankings.

Sevastova admitted nerves got to her in the tie-breaker, saying, “It’s normal. You play for semi-finals of US Open. I’m not a robot. Sorry.”