Gauff steps up in Saudi Arabia to beat Swiatek and reach last four of WTA Finals
Swiatek, the defending champion, was in a direct battle with Aryna Sabalenka for the top spot this week but needed a win over Gauff to keep her chances alive of leapfrogging her Belarusian rival.
Gauff entered the contest having lost 11 of her 12 previous meetings with Swiatek, with the American's sole victory coming in Cincinnati last year.
But she turned the tables on Swiatek on Tuesday, defeating the second seed 6-3, 6-4 to make it two straight-sets wins from two round-robin matches in Riyadh this week.
"It feels great. I knew going into the match that despite our head-to-head I had a lot of confidence going in," said Gauff, who hit 11 double faults during the one-hour 48-minute showdown.
With the exception of the opening game of the match, Gauff had breakpoint opportunities in every Swiatek service game in the first set.
The American third seed made her move in game seven, breaking for 4-3, and she closed out the set with a second break of serve, taking the lead in 49 minutes.
Swiatek needed six break points in a marathon third game of the second set to finally take down the Gauff serve but she couldn't consolidate her advantage.
They traded breaks again, as Gauff's double-fault tally went up to double digits and Swiatek racked up the errors.
It was Gauff who eventually steadied the ship, and sealed the victory on Swiatek's 47th unforced error of the match.
Earlier in the day Barbora Krejcikova ended Jessica Pegula's chances of qualifying for the semi-finals, defeating the sixth-seeded American 6-3, 6-3.
A runner-up at the WTA Finals last year, Pegula suffered her second straight-sets defeat of the week and enters her final round-robin match against Swiatek on Thursday anchoring the Orange Group with zero sets won.
Eighth-seeded Krejcikova bounced back from her opening loss to Swiatek to keep her hopes of making the final four alive.