Department of Immigration officials were trying to contact the dead man's brother in Sri Lanka, but so far had not had success, he said.
Bowen confirmed the man had sought leave to attend a Hindu festival, which was to be held at Villawood yesterday, but the request had been knocked back.
Three people died at the Villawood centre in 2010, and the dead man had been a resident at the time of some of those deaths.
Bowen said the Department of Immigration was prepared for more riots at Villawood in light of the latest death.
"Certainly, experience does show us that when you have an incident like this, a tragic incident, it does and can lead to increased tension," he said.
"Obviously we're taking whatever steps we can to ensure that the situation is handled appropriately.
The man who killed himself had been housed in residential housing adjacent to the main Villawood detention centre which accommodates families and vulnerable people.
Bowen denied the immigration system was in crisis, but he said detention facilities were under pressure.
- AAP