A bench headed by Justice B S Chauhan asked petitioner Sharmila Ghuge, an educationist in a Mumbai law college, to approach the high court.
The petitioner said the investigation in the scandal should be handed over to CBI from Delhi, Mumbai Police and officials of other probe agencies so that proper coordination takes place and the guilty persons do not go scot free due to "mismanagement and lack of co-ordination between different police agencies".
The petition said for a "fair and proper" investigation, the cases registered by both the states should be probed by CBI, as otherwise there are chances that the probe can be hampered by "highly influential persons and politicians".