Fire has whipped through a room in a bondage and discipline centre, causing about $100,000 damage.

Metropolitan Fire Brigade crews were called to The Correction Centre in Fitzroy, Melbourne, shortly after 10.15pm yesterday.

They contained the fire to a room on the first floor of the two-storey building.

No one was injured but much of the upper level was damaged by heat and smoke.

The fire was under control in about 30 minutes, Acting Commander Ala McLean told Southern Cross radio.

"It was fairly quickly controlled. It was a small fire. Once they gained access into the first-floor area it was reasonably quickly extinguished," Mr McLean said.

A candle is thought to be the cause of the fire.

The Metropolitan Fire and Emergency Services board said: "MBF firefighters were tied up for some time but disciplined and controlled firefighting contained the blaze to one room on the second floor of the two storey building."

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"MBF firefighters were tied up for some time but disciplined and controlled firefighting..."