Southern New Brunswick should expect between 30 and 65 millimetres of rain to fall by Tuesday morning, according to Environment Canada.
The weather agency has issued a rainfall warning for the region with a forecast of heavy and persistent rain.
The rainfall is expected to be accompanied by mild temperatures and will lead to significant melting and run-off in areas with existing snow.
Strong southwesterly winds that could reach 80 kilometres per hour are also expected.
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The federal agency is forecasting the possibility of localized flooding in low-lying areas. Visibility could also be reduced as a result of the rainfall, it says.