The Dartmouth Dam, the largest water storage in the Murray-Darling Basin, feeds into the Hume Reservoir and then the Murray River.
It last spilled in September 1996.
The dam was recorded at 100.4 per cent capacity on Sunday.
With more rain yesterday and predicted for today, spillway flows are expected to increase.
Dartmouth Dam had been hovering at 99 per cent capacity for more than four weeks before the spill began last Thursday.
Hume Reservoir has also been releasing almost 50,000 ML/day, as it currently sits at 97 per cent capacity.
It takes about one day for water released (or spilled) from Dartmouth Dam to flow along the lower Mitta Mitta River and into Hume Reservoir.
Yesterday, the Murray River at Corowa sat at 5.91m and rising, while at Tocumwal it was 6.28m and falling (minor flood level is 6.4m).
With recent rains and the water reservoir releases, flooding concerns remain for communities along the Murray River.
Yesterday, the SES stated the Murray River downstream of Hume Dam to Tocumwal was still on flood watch.
Minor flooding is occurring at Corowa, which may develop to moderate flood level (5.90m) from late Monday into Tuesday, and may remain around the moderate flood level through to next weekend.
NSW SES Southern Zone public information officer Brett Koschel said the SES was working with the Bureau of Meterology (BoM) to estimate the upstream flows as a result of the spills and overland rain.
“The river level at Corowa is expected to be maintained for the next week,” Mr Koschel said.
“We’ve had a lot of overland rain that’s added to the river levels, so we’ll continue to work with WaterNSW and other authorities to monitor them.”
Some sandbagging activity has taken place in Albury in the past week, for distribution to centres along the Murray River and to Deniliquin, where flooding of the Edward River and associated tributaries remains.
Local Rural Fire Service volunteers have been part of that sandbag filling effort.
The Murray-Darling Basin Authority (MDBA) manages the major water supply infrastructure of both the Dartmouth Dam and Hume Reservoir.
“The MDBA remains focused on keeping the (Hume) dam safe, and capturing flows where we can, to mitigate flooding,” MDBA executive director of river management Andrew Reynolds said.