HT had earlier reported that the Arthur Road jail was overcrowded - 3,000 inmates as against its capacity of 800 - and top officials were worried that the accused would be attacked by other inmates.
VD Burkule, superintendent of the prison, confirmed that the accused had been shifted to Byculla jail, which is primarily for women prisoners.
"We have cells in Byculla jail where petty criminals are kept. We will keep them [the four accused] in one of those cells," a top jail official said on condition of anonymity.
The official said the identification parade was also likely to be held at the Byculla prison on Friday
The accused have been sent to judicial custody till September 19 by the court.