The service confirmed Dunwich village and surrounding communities remained open for business.
Dunwich Road, from Westleton to Dunwich, would reopen at 17:00.
The hot weather meant the risk of fires in the open remained high, and the fire service urged people to be mindful of behaviour that could start a blaze.
The fire which started on 29 July burnt through some 371 acres of heathland (150 hectares).
Homes and a holiday caravan park were evacuated after the fire broke out, and there were fears for rare birds and wildlife that live on the heath and at nearby RSPB Minsmere.
The National Trust, which owns Dunwich Heath, an area of outstanding beauty, said £350,000 had been raised so far to help restore the area in the future.
On social media, RSPB Minsmere posted that it would be reopening most of the reserve to the public from Tuesday. It confirmed surrounding wetland areas were unaffected by the fire.
“But the impact on the heathland will be felt for years to come, and we will begin assessing the extent of the damage when it is safe to do so,” it said.
It asked all visitors to check in at the Visitor Hub first “so that we can give guidance on what areas are open and what to avoid”.
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