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The corporation's Bertram Birk says power lines and the power house that services Milikapiti and Pirlangimpi are damaged.
"We've got the planes all on stand-by, we just need clearances to get there, with both staff and contractors," he said.
"But we really need to do an assessment on the ground so we can clearly document what materials we need and make arrangements to get them over there."
Contact has been re-established with all remote communities in the Northern Territory's Top End.
Police were most concerned about the Milikapati community, which does not have a police presence.
The core of the cyclone passed close by, with winds reaching more than 200 kilometres per hour.
But Northern Territory police say that while the community has no power or water, it received minimal structural damage.
Clean-up operations are under way at the Tiwi Island community of Nguiu after Cyclone Ingrid ripped up trees and forced the closure of essential services overnight.
There have been no reports of injuries but trees have been uprooted, breaking communications and forcing the shutdown of power and water supplies.
Winds close to 200 kilometres per hour were experienced in Nguiu overnight.
Essential service coordinator Graeme Fregon says he has experienced eight years of cyclones but he has not seen anything like Ingird.
"The wind was howling, like really howling, the noise was just really, really loud, I was home ... and when I went out the back yard some time ago I found a garden shed in my yard that I didn't have yesterday," he said.