Jamna, who is said to be mother of Sai's son, had evaded questioning by police since he was arrested on December 4 in connection with the rape case.
"Narayan Sai's female disciple Jamna, with whom Sai had fathered a child, surrendered today before Surat police. We will arrest her and produce her before court tomorrow," DCP (Crime) Shobha Bhutada told PTI.
Police said Jamna had been named in the original FIR and her interrogation will strengthen the case against Sai.
Sai was apprehended from Haryana-Delhi border after evading arrest for nearly two months in the sexual assault case lodged against him by an inmate of his Surat-based ashram.
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Sai himself had admitted to police on December 11 that he had had physical relationship with eight of his female disciples.
Two sisters had lodged complaints against Sai and his father Asaram of rape, sexual assault, illegal confinement and other charges.
Surat police had booked 40-year-old Sai under various sections including rape, unnatural sex, molestation, wrongful confinement, unlawful assembly, rioting armed with deadly weapon, criminal intimidation and criminal conspiracy of the IPC.