The World number one beat Croatian Donna Vekic 6-3 4-6 7-6 (7-4) at the Porsche Tennis Grand Prix.
Osaka will now face Anett Kontaveit, who was able to progress after Victoria Azarenka retired.
Petra Kvitova will face Kiki Bertens in the other semi-final.
Williams to face Australia's Joint in Wimbledon comeback
American great Serena Williams will face Australian 20-year-old Maya Joint in the first round of her eagerly awaited return to Wimbledon, a potentially tricky tie for the seven-time champion playing at the tournament for the first time since 2022.
Australia reach World Cup knockouts, Turkey beat USA
Australia booked their spot in the knockout rounds of the World Cup on Thursday after a cagey draw against Paraguay, who are set to qualify as a third-placed finisher, while Turkey beat USA 3-2, scoring the winner with virtually the last kick of the match.
Netherlands win Group F, Japan and Sweden also through
The Netherlands scored two goals in the first seven minutes of the first half en route to a 3-1 victory over Tunisia on Thursday night in Kansas City in Group F, while Japan and Sweden drew 1-1 in Texas.
Beccacece hails Ecuador's biggest World Cup victory
Ecuador coach Sebastian Beccacece said all Ecuadoreans have a lot to celebrate on Thursday after the country's biggest World Cup result ever, coming from behind to beat Germany 2-1 and advance to the knockout stage.
New Zealand openers break record against England
New Zealand took control of the third Test at Trent Bridge with Tom Latham and Devon Conway setting a record partnership for the Kiwis against England on Thursday.
7:00pm - 10:00pm
10:00pm - Midnight
