In the petition, the former IAS officer P Sivakami said Vishnupriya who was investigating the Gokulraj murder case was found hanging at her residence on September 18.
It was imperative that the suicide of a higher official should be investigated without any prejudice and only a central investigating agency could do that, she contended.
Meanwhile, a PIL was filed by a Madurai-based advocate in the Madras High Court seeking transfer of the suicide case to CBI.
Vishnupriya, DSP of Tiruchengode in Namakkal District, allegedly committed suicide by hanging herself on September 18.
Her family and one of her batchmates had alleged she took the extreme step due to harassment by superiors in connection with the case related to the murder of a Dalit youth, which she was investigating, a charge denied by police.