The $20 million parliamentary annexe was completed in 1979, during the premiership of Sir Joh Bjelke-Petersen, and includes accommodation for regional MPs during sitting weeks and office space.
Opposition frontbencher Dale Last was evacuated from his room in the annexe in 2018 and was treated for smoke inhalation after an airconditioning unit caught fire.
“We had another airconditioning unit catch fire,” Mr Bleijie said.
MPs were advised on Monday that part of the annexe would be closed because parts of the concrete facade were falling off.
“[It] is essentially held together with metal pins, some of the metal pins were replaced and fixed in 1991, obviously not all…