Authorities urge residents of Voyager Point, Pleasure Point, Sandy Point, Alfords Point, Barden Ridge, Illawong, Menai and Bangor to continually check for updated advice from the NSW Rural Fire Service, as conditions can change quickly.
Mr Fitzsimmons said it was possible that winds could strengthen again and elevate the fire danger.
"We have had reports of impact on properties in west Menai and Barden Ridge but our crews at the moment are exclusively focused on fighting the fire", he told AAP. "There were reported gusts of about 60 kilometres an hour so they'll be reduced", he said yesterday.
Many residents in Menai made a decision to remain at their homes and were kept busy fighting ember attacks.
Many property owners stayed to protect their homes from spot fires - luckily no homes or lives were lost.
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Asked about that possibility, the premier said: "The community would deem it absolutely unforgivable if this fire was deliberately lit".
The fire resulted in hundreds of people being evacuated from their homes on Saturday evening with flames nearly reaching properties at Holsworthy and Wattle Grove and spot fires later threatening Sutherland and Menai.
On Sunday, more than 500 firefighters in nearly 100 fire trucks, along with 15 aircraft, battled the blaze throughout the day.
There's also a risk that winds could also pick up to 35km/h later today.
Fitzsimmons said it would be "sickening and reprehensible" if the fire was discovered to have been arson.
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He said the aircraft had unfortunately already been returned to the United States because they were always sent back by the end of March when temperatures were traditionally cooler.
Police are now investigating the source of the fire, which is being treated as "suspicious".
The RFS said there was very little rain forecast over the next few days across the fire ground and most parts of the state.
New South Wales state police are investigating the cause of the bushfire in south-western Sydney, which started on Saturday afternoon amid unseasonably warm autumn weather and strong winds, with suspicions it was deliberately lit.
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