Deputy Chief Forecaster Mark Sidaway of the Met Office noted that while rain is forecast to return, it may not be enough to offset the summer's dry conditions.
Some southern areas could see little to no rainfall.
Alongside the Dunwich Heath fire, other major wildfires are being addressed across the UK.
A significant wildfire in Scotland’s Cairngorms is being tackled, where crews are making progress but remain vigilant against flare-ups.
Michael Humphreys, deputy assistant chief officer of the Scottish Fire and Rescue Service, said, "It’s been an absolutely devastating fire for wildlife and for the local community who have come out in force to really support us, which we really do appreciate."
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He also described efforts to contain the blaze, including the creation of extensive fire breaks.