The 21-year-old shuttler from Hyderabad suffered a shock first-round exit from the Malaysia Open Super Series in Kuching last week to go down the ladder.
Sindhu is competing at Singapore Open this week.
Saina, who also lost in the first round of the Malaysia Open, however, remained unchanged at the ninth position.
The women's singles ranking table is headed by Tai Tzu Ying of Taiwan.
In the men's singles, Ajay Jayaram is the highest-ranked Indian at the 14th position.
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