Is Mhada flat name change necessary after conveyance

My brother who was unmarried owned a Mhada flat but couple of years back he passed away.He had made a will (Will is not registered) in which he had mentioned that the property after my death should go to my two brothers and he had also mentioned name of both the brothers in the nomination form given to the society along with indemnity bond. In Mhada we have not changed his name as we were told verbally by mhada people that society is in the process of acquiring conveyance deed from Mhada and once we receive that then there is no point changing his name in Mhada. One year after his death the conveyance deed from Mhada got cleared so my question is - - We now have to sell this flat, since the conveyance deed is done do I still need to change my brothers name in Mhada. Share certificate is already transferred in the name of other two brothers and society maintenance bill also comes in their name.