The 32-year-old victim was confirmed dead by police after sustaining serious injuries inside the compound.
He was taken to Northam hospital but died shortly after.
Authorities have not yet confirmed the stabbing or any other details of the riot.
The Refugee Action Coalition believe the man was involved in an altercation with another detainee.
On Thursday, it added it believed the man had been held in the centre for three years.
The Homicide Squad is investigating the death and are speaking to two people in relation to the incident.
A spokesperson for the Australian Border Force expressed their condolences to the family and friends of the man.
“The ABF’s priority is the health and safety of all detainees and staff,” a statement read.
“The matter has been referred for investigation to the appropriate agencies.
“As this matter will be subject to ongoing investigation, it would not be appropriate to comment further.”
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