The World No 1, who extended his hardcourt winning streak to 26 matches, will play against Canada's Felix Auger-Aliassime in the semi-finals.
Defending champion Jannik Sinner reached the semi-finals of the ATP Finals with a 6-4, 6-3 win over two-times winner Alexander Zverev on Wednesday, with Ben Shelton eliminated after losing earlier to Felix Auger-Aliassime in the same group.
It marks Osaka's first WTA 1000 semi-final since Miami in 2022, as the Japanese former world number one needed just over an hour to secure victory over the 10th seeded Svitolina.
Michelsen, seeded 26th, will face hard-hitting 11th seed Karen Khachanov of Russia, who upset eighth seed Casper Ruud in their fourth round match 6-4, 7-5.
Shelton was broken in the opening and closing games of the first set, unable to take advantage of a break point at 2-1 down while Sinner was always capable of pulling out an ace at the crucial time, hitting two in that fourth game to hold serve.
Carlos Alcaraz stormed into his first Masters final in 13 months when he beat Alejandro Davidovich Fokina 7-6(2), 6-4 on Saturday.
World No. 1 Carlos Alcaraz came under extreme pressure before overcoming American Taylor Fritz 6-7(2), 7-5, 6-3 in a thrilling round-robin match at the ATP Finals on Tuesday, leaving the Spaniard on two wins from two.
After a gutsy performance that pushed Sinner to four sets, the Italian world number one ultimately proved too strong. Yet the Canadian said he would carry plenty of positives forward from Flushing Meadows.
Anna Kalinskaya outclassed Britain's Emma Raducanu at the Washington Open on Saturday to advance to the final, where she will face Leylah Fernandez.
Australian top seed Alex de Minaur moved into his second consecutive final at the Next Gen ATP Finals with a 4-2, 4-1, 0-4, 4-2 victory over Frances Tiafoe in Milan on Friday.
Roger Federer clinched a record-extending 10th Swiss Indoors championship title in his hometown of Basel with a crushing 6-2, 6-2 victory over Australia's Alex de Minaur on Sunday.
Jannik Sinner began his bid to retain the ATP Finals title with a resounding 7-5, 6-1 win over injury-hit Canadian Felix Auger-Aliassime in their round-robin clash.
Roger Federer, accompanied by his wife Mirka, was spotted in the Royal Box during the fourth-round match between Novak Djokovic and Alex de Minaur.
Iga Swiatek was the latest top player to suffer an upset loss in Montreal as the Wimbledon champion
Canada's Felix Auger-Aliassime reached the last four of the ATP Finals with a 6-4, 7-6(4) round-robin win over two-times winner Alexander Zverev on Friday and Jannik Sinner extended his indoor hardcourt unbeaten run by beating American Ben Shelton.
Daniil Medvedev might have to delay his holiday plans a while longer after rediscovering his spark to beat Australia's Alex de Minaur in straight sets at the ATP Finals on Tuesday.
Defending US Open champion Jannik Sinner continued his stellar run at the hardcourt Grand Slams with a 6-1, 6-1, 6-1 hammering of Kazakh 23rd seed Alexander Bublik on Monday to make the quarter-finals at Flushing Meadows.
Defending champion Jannik Sinner dismissed eighth seed Alex de Minaur 6-3, 6-2, 6-1 to reach the Australian Open semi-finals and extend the country's decades-long wait for another homegrown singles winner at the Grand Slam on Wednesday.
Jannik Sinner overcame a debilitating medical episode as well as Dane Holger Rune to reach the quarter-finals of the Australian Open for the third time.
Jannik and Carlos are the favourites at Flushing Meadows, but don't write these men off!
Gael Monfils thrilled the Roland Garros crowd with his 12th five-set victory at the French Open on Tuesday before revealing that he does not enjoy having to dig himself out of deep holes at Grand Slams.
Defending champions Italy moved into the Davis Cup final after a 2-0 win over Australia on Saturday as Jannik Sinner defeated Alex de Minaur in straight sets to follow up Matteo Berrettini's victory over Thanasi Kokkinakis.
Teichmann wins singles, Anshba-Pridankina claim doubles at Mumbai Open
Novak Djokovic reached the Wimbledon quarter-finals for the 16th time but it proved a hard day's work at his Centre Court office.
Defending ATP Finals champion Novak Djokovic has pulled out of the season-ending event in Turin through injury, the Serbian said on Tuesday.
Top seed Carlos Alcaraz of Spain and No. 8 seed Hubert Hurkacz of Poland will clash in the ABN Amro Open semi-finals on Saturday after both posted victories on Friday in Rotterdam, Netherlands.
Jannik Sinner beat defending champion and Spanish second seed Carlos Alcaraz to win his first Wimbledon title.
Daniil Medvedev continued his march towards a first Grand Slam title on Wednesday, powering into the US Open semi-finals with a clinical 7-6(6), 6-3, 7-6(5) victory over childhood friend Andrey Rublev.
Second seed Coco Gauff overcame early problems on serve to cruise past China's Wang Xinyu 6-3, 6-2, keeping her composure despite eight double faults in the first set to book a meeting with Ukraine's Dayana Yastremska in the third round.
Shelton blasted an ace on match point to seal the win and avenge his five-set loss to Tiafoe at last year's U.S. Open as the 22-year-old continues to make strides in his breakout season.
American fourth seed Ben Shelton battled from a set down to clinch his first ATP Masters 1000 title at the Canadian Open in Toronto on Thursday.
Images from the US Open men's singles quarter-finals at Flushing Meadows, New York, on Wednesday.
'I've been a little bit shocked this week with how players have been treated by the broadcaster.'
Teenager Andreeva shows her mettle, Pegula advances at French Open
Australia booked their place in the Davis Cup semi-finals as doubles pair Matthew Ebden and Jordan Thompson clinched the deciding rubber against the United States on Thursday.
No. 1 seed Carlos Alcaraz of Spain was pushed to three sets before finishing off Dutch wild card Botic van de Zandschulp in the first round of the ABN AMRO Open.
Seven-times champion Novak Djokovic scored his 100th match win at Wimbledon and led the march of the old guard into the last 16 on Saturday while an ailing Barbora Krejcikova's title defence ended in defeat and tears.
Jannik Sinner made it two wins out of two at the ATP Finals as he fought off Taylor Fritz in a high-octane clash inside the Inalpi Arena on Tuesday.
Carlos Alcaraz got his grasscourt campaign up and running with a 6-4, 7-6(4) victory over Australian Adam Walton
Alexander Zverev will be third seed for the French Open but the 28-year-old German's prospects of winning his first Grand Slam title in Paris are not looking especially bright.