Katherine's Mayor and the local emergency services team have urged the region to take steps to prepare for the potential impacts of a cyclone, but not to panic.
BOM Duty Forecaster Sally Cutter said Tiffany is set to bring some heavy falls to the flood-prone Katherine region later this week.
However, Mayor Lis Clark urged residents not to panic.
"Just keep an eye on [the weather warnings]," she said.
"You don't want to be complacent but you don't want to scare people as well."
Mrs Clark said looking at Council's River Cam was a good way to see how high the Katherine River was rising without potentially going out into a dangerous situation.
Katherine Volunteer Unit Coordinator for the Northern Territory Emergency Service, Ron Green, said his team were preparing in case of an emergency.
"We're just monitoring at the moment...the forecast doesn't have anything happening to Katherine for a few days yet," he said.
"But we've been very fortunate that today we've just received one of our new vehicles which has got storm damage and chainsaw capability in case the winds cause some damage. And we've been given another another flood boat.
"So we've got four boats here available for use should I be needed across any of the areas.
"We're just preparing to look after the communities and respond as as we're called to respond."
Mr Green said with a cyclone watch currently in place east of Beswick, residents in the area should still prepare for potential cyclone damage.
"Just make sure that your house has got any loose items picked up and packed up, take your rubbish to the tip in the next 24 hours.
"Make sure you've got plans in place just in case the river gets really high. Have a have a kit ready with some basic supplies and make sure you've got access to a radio where you can listen to the warnings that are going on."
"So you want to be prepared, don't buy all the toilet paper out of Woolies."
If you need help from NT SES, call 132 500.
If a person's life is in danger, call 000.
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