Venus Williams beat top seed Angelique Kerber on Wednesday to advance to a Miami Open semi-final against Britain's Johanna Konta.
New York Governor Andrew Cuomo said the USTA would take "extraordinary precautions" to protect players, including robust testing, additional cleaning, extra locker room space and dedicated accommodation.
IMAGES from Day 6 of the French Open, at Roland Garros, on Friday.
The 20-year-old Ostapenko was the first unseeded woman to lift the Suzanne Lenglen Cup since Britain's Margaret Scriven in 1933.
Greek teenager Stefanos Tsitsipas secured the biggest win of his career when he sent Wimbledon champion Novak Djokovic packing in the third round of the Rogers Cup with a stunning 6-3, 6-7(5), 6-3 win on Thursday.
Romania's Simona Halep overcame Czech Karolina Pliskova 6-4, 7-6(4) in the final of the Dubai Championships on Saturday to claim her 10th WTA singles title.
The 26-year-old first reached the top last October but lost the spot 16 weeks later having not hoisted a Grand Slam trophy.
World number one Simona Halep was upset 6-2, 6-4 by unseeded Estonian Kaia Kanepi in the U.S. Open first round on Monday, the second consecutive year the Romanian has lost her opening match at Flushing Meadows.
Novak Djokovic destroyed a woeful Stefanos Tsitsipas 6-1, 6-2 to book his place in the semi-finals of the Paris Masters.
Images from Day 9 of the French Open in Paris on Monday.
Simona Halep is prepared for her second marathon of the tournament when she faces former champion Angelique Kerber
Simona Halep produced a flawless performance to beat Serena Williams in last year's final but this week's cancellation of the grasscourt Grand Slam means she will not get to defend her title this summer.
Fifth seed Simona Halep of Romania took advantage of an error-prone display by American Madison Keys to claim her 14th WTA title with a 7-6(2), 6-3 victory in the Rogers Cup final in Montreal on Sunday.
Simona Halep shrugged off any expectations or feelings of additional pressure ahead of the Australian Open.
Sharapova was granted a wildcard entry to the last Grand Slam of the season but received a tough first-round draw in the shape of Romanian Halep.
IMAGES from the US Open matches played on Day 1 at the Flushing Meadows in New York on Monday.
The fifth-seeded Austrian, who saved two match points, will face Novak Djokovic on Saturday after the world number one's opponent Marin Cilic withdrew with food poisoning.
Wimbledon semi-finalist Grigor Dimitrov has been named Bulgaria's Athlete of the Year in a nationwide poll conducted by sports journalists while French Open runner-up Simona Halep won the award in neigbouring Romania.
'I will put everything I have Saturday on the court'
Garbine Muguruza roared into the French Open semi-finals with a 6-2, 6-1 demolition job of Maria Sharapova on Wednesday.
Top seed Simona Halep came back from a set down for the third time in the tournament to beat Kazakhstan's rising star Elena Rybakina 3-6, 6-3, 7-6(5) to win the Dubai Duty Free Tennis Championships for the second time on Saturday. In a battle that lasted nearly two-and-a-half hours, the match came down to a tiebreak where two shots that went agonisingly wide for Rybakina eventually decided the title in front of a noisy crowd that constantly chanted Halep's name.
Images from the French Open women's semi-final matches played at Roland Garros on Thursday
Garbine Muguruza outclassed former finalist Simona Halep in straight sets to enter the final of the Australian Open in Melbourne on Thursday. Meanwhile, Sofia Kenin sent world number one Ash Barty spinning out of the Melbourne Park semi-finals 7-6, 7-5 on Thursday, crushing Australian hopes of a first home-grown champion at the Grand Slam in 42 years. The 21-year-old Kenin showed her frustration at times, throwing her racquet on court, but managed to hang in and saved three breakpoints to hold for 3-3 and eventually force a tiebreaker.
Serbian Jankovic was serving for the title at 5-4 in the second set but World No 3 Halep won the next three games and battled back for the biggest title of her career.
Halep, the beaten finalist in the French Open last week, is the latest top player to pull out from the event after Czech world number three Karolina Pliskova opted to rest her injured elbow ahead of Wimbledon.
Ukrainian second seed Elina Svitolina ended Naomi Osaka's remarkable recent run with a 6-4, 6-2 triumph over the Indian Wells champion in the second round of the Miami Open on Friday.
Maria Sharapova continued her mastery of Romania's Simona Halep with a high quality 6-4, 6-4 victory filled with bruising baseline rallies to edge closer to a last four berth at the WTA Finals on Tuesday.
The 15-year-old's popularity has soared off the charts in a memorable week at the All England Club, with organisers also recognising her potential to grab attention and giving her a Centre Court match-up in the third round.
Halep has struggled for form and fitness since her first-round defeat at the US Open last August and came to Australia on a five-match losing streak and without a coach after long-serving Darren Cahill left for "family reasons".
Kvitova to decide on participation on Friday
She will now play Dutch 15th seed Kiki Bertens, who saw off Australian qualifier Daria Gavrilova 6-3, 6-3, in Saturday's semi-final on the red Foro Italico clay.
The Romanian broke Williams's serve in the first game but that was the only one she managed for the rest of the opening set as the American bulldozed her way through the set in 20 minutes, serving it out with an ace.
Top seed Simona Halep came back from 4-1 down in the deciding set to beat Elina Svitolina 6-3 3-6 6-4 in the Qatar Open semi-final on Friday, marking her first victory over the Ukrainian in nearly two years.
Defending champion Simona Halep was knocked out of the French Open 6-2, 6-4 by 17-year-old American Amanda Anisimova in a quarter-final shock.
Nadal produced a rich vein of form as he thrashed Greek teenager Stefanos Tsitsipas in straight sets to clinch his fourth Canadian Masters 1000 title at the Rogers Cup
Caroline Wozniacki 0-6, 6-3, 7-5 and advance to the last four at WTA Finals on Friday, the Frenchwoman topping the Red Group after top seed Simona Halep lost later in the day.
Angelique Kerber was forced to dig deep in her WTA Finals opener before the German world number one battled past Dominika Cibulkova 7-6(5), 2-6, 6-3 in a high-class baseline slugfest at the Singapore Indoor Stadium on Sunday.
Factbox on Romanian Simona Halep, who beat Sloane Stephens 3-6, 6-4, 6-1 to win the French Open title on Saturday:
Roger Federer suffered a shock 3-6, 6-3, 7-6(4) defeat to Australian wildcard Thanasi Kokkinakis on Saturday that will cost the Swiss his world number one ranking and leaves the Miami men's tournament wide open.
Top seed Simona Halep was pooled with grand slam winners Maria Sharapova and Flavia Pennetta in a formidable looking Red Group for the end-of-season WTA Finals on Friday.