"The mosque itself was not damaged," Mr Newman said.
He said the cause was still undetermined as investigations were in the early stages.
Fire investigator Michael McEnaney would not say if the fire was suspicious until he knew more. However police spokeswoman Mere Wilson said police had no evidence to suggest explosives or flammables were in the storage area affected by the fire.
Muhammad Nadeem, 42, who lives in a mosque-owned rental property at the back of the centre, said he called emergency services when he noticed flames coming out of the roof of a mosque building.
"I was really worried for my children and that the fire would spread to my home and the other houses around here." Earlier this year, the centre's former imam, Sheikh Abu Abdulla, was banned from the mosque after allegedly teaching an extreme form of the Islamic faith.
He denied the allegations.