On Sunday, fire crews continued to battle the blaze at Fingal, placing particular focus on the southern edge of the 15,000 hectare fire, closest to where the northern border of the national park is situated.

Tasmania Fire Service acting regional chief Ian Bounds said crews had several strategies around containing the fire and preventing it from travelling into the park.

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"The fire has been progressing in a southerly and south-westerly direction," he said.

"At this stage, it's not heading directly towards the Douglas-Apsley.

"And that's where a lot of our work will now be concentrated to ensure that it doesn't impact on that area in the next few days."

For the past three days, experts including representatives from the Parks and Wildlife Service and Sustainable Timber Tasmania have been devoting themselves to looking at containment strategies beyond the fire's southern edge.

About two years ago, fuel reduction burns were carried out in the park, Mr Bounds said, which meant that if fire broke out in Douglas-Apsley, crews could be "more direct" in combating it.

"If we feel that fire is going to threaten that area, we'll ... potentially [do] ridgetop lighting to take the fuel out so it stops the impact of the oncoming fire, slows it down and stops it from jumping from ridge to ridge," he said.

Tasmanian Greens senator Peter Whish-Wilson, who is currently at Bicheno - at the south-eastern tip of the national park, about a 57 kilometre drive from Fingal - said residents there were frightened that fire could reach them if it got into the national park.

"There's obviously been a lot of smoke down here, which has got people very focused on the issue," he said. "They're very angry that it's been deliberately lit and they're very aware that Douglas-Apsley is very dry."

North East Bioregional Network spokesman Todd Dudley said the current conditions may make regeneration of the dry eucalypt forest in the national park "slow and limited" if a fire was to break out there.

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Rare euphrasia are present in the northern part of Douglas-Apsley, while vulnerable Tasmanian devils, eastern quolls and wedge-tailed eagles are also within the reserve.

The forecast for the East Coast on Monday shows light winds of up to 30 kilometres an hour tending east to north-easterly in the middle of the day before becoming north-west to north-easterly later in the evening. Daytime temperatures are expected to reach up to 26 degrees.