Playing on court 1, Sindhu overcame a strong challenge from her Chinese rival Han Yue 17-21 21-11 21-19 in a contest lasting 62 minutes to book her semifinal berth.
The 35-year-old is striving to grab a seventh Wimbledon crown and 21st major title as he aims to close the gap on 22-time Grand Slam champion Rafael Nadal.
The second seed showcased trademark strength, increasing his aggression to keep points short and delivering a high-class deciding-set tie-break to seal a 3-6, 7-5, 3-6, 7-5, 7-6(10-4) victory.