Richard Heldreth, the president of the corrections officers' union at Hazelton, told WVNews that a male inmate had been slain there overnight, but was unable to immediately confirm the inmate's identity.
Bulger had recently been moved Hazelton from a prison in Florida after a stint in a transfer facility in Oklahoma City.
Bureau of Prisons officials and his lawyer declined last week to comment on why he was being moved.
In the past three months, there have been three homicides at Hazelton, with the officers' union blaming chronic under-staffing.