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.
Kohli to play 2027 World Cup only if he can add value
India veteran Virat Kohli said he has nothing left to prove and would consider playing the 2027 One-Day International World Cup only if he can still contribute meaningfully.
Romelu Lukaku makes Belgium's World Cup roster
Romelu Lukaku was named to Belgium's 26-man World Cup roster on Friday despite the team's all-time leading scorer being limited to only five appearances for Napoli this season due to injuries.
France reveals World Cup roster; Camavinga, Chevalier left off
France's World Cup roster includes a star-studded assortment of talent, with Real Madrid infielder Eduardo Camavinga arguably the most notable omission.
Punjab crack under pressure to leave IPL playoffs hopes in balance
Punjab Kings set the early pace in the Indian Premier League by going seven matches unbeaten, but a run of five straight defeats has left their playoffs hopes in the balance and assistant coach Brad Haddin concedes they have failed to deal with the pressure.
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