People living in the drought zone have been urged to continue using a little water as possible.
A hosepipe ban will remain in place until water supply is secured, the EA said.
Richard O’Callaghan, area environment manager at the EA, said: “Autumn and winter may feel like there is an excess of water at hand, but the climate is changing, and we must be sensible about water use all the time.
“A few bursts of recent rainfall do not undo several dry months of cumulative impact.
“It will take sustained rainfall to address prolonged dry weather and replenish reservoirs and rivers.”
Meanwhile, Hampshire, Isle of Wight, Surrey and the rest of East and West Sussex remain in prolonged dry weather status, the EA said.