The centre was official closed 12 days ago and services were cut, but more than 200 men are still refusing to move to alternative accommodation nearby.
Saturday was supposed to be the deadline for the refugees to voluntarily leave, or be forcibly evicted.
But Papua New Guinea police officers, who are standing guard on the centre's perimeter, now say they must leave by tomorrow or Monday, according to refugees spoken to by RNZ Pacific.
The provincial commander, David Yapu, said force would not be used to evict the men on Saturday.
