This was announced by Home Minister R R Patil, while replying to a discussion.
"Even if the victim's family sends a post card to the government demanding CBI investigation...The government is ready to hand over the case to CBI," the minister said.
Leader of Opposition Vinod Tawde, who moved the motion under the relevant rule of the Legislature, said no arrests have been made so far even after a month.
A team has visited Rajasthan and Gujarat in connection with the case, he said.
So far, over 500 persons have been interrogated in the case, he added.