The Commissioner of Mumbai Police has issued an order, as per which the crime branch will investigate the death of convict Manju Shette, the official said.
The police had earlier suspended six jail staffers and booked them on the charge of murder.
Manju (45) died at the government-run J J Hospital on Friday night after allegedly being beaten up by a woman official of the jail on June 23.
The police had earlier said Manju, whose death triggered protests in the prison, was allegedly tortured and a stick was inserted in her private parts.
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"These allegations are part of an FIR filed against the jail staff. We are probing the matter," Deputy Commissioner of Police (Zone-3), Akhilesh Singh had said.
Following Manju's death, the enraged inmates rose in protest on Saturday, some of them went to the prison's terrace, while others made a bonfire of newspapers and documents inside the premises to express their anger.
Indrani yesterday moved a Mumbai court alleging that she was beaten up by the jail officials after the convict's death triggered a protest in the prison.
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