The National Weather Service has canceled a winter weather advisory that was supposed to last until noon Wednesday.

That advisory had called for 3 to 5 inches of new snow for parts of Long Island overnight. But the service has now modified that prediction.

“Light snow is likely overnight into Wednesday morning,” the service’s 9:25 p.m. statement said. “But amounts are expected to remain below advisory levels.”

This storm system comes on the heels of Monday’s far more intense storm, which dropped 6.1 inches of snow in Mattituck, 6 in Orient and Flanders, and 3 in Merrick and Malverne, as reported by trained spotters. Long Island MacArthur Airport registered 2.5 inches, the weather service said.

Coastal flood advisories, however, were still in effect.

They have been issued for most of the South Shore until midnight Tuesday and again from 7 a.m. to noon Wednesday. For much of the North Shore, that will be from 11 p.m. Tuesday to 2 a.m. Wednesday, and again from 11 a.m. to 3 p.m. Wednesday

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With a “slow decrease in surge,” the next two high tides, Tuesday night and Wednesday morning, are expected to bring widespread “minor” coastal flooding, though the more vulnerable spots along the South Shore could see locally moderate flooding, said Nelson Vaz, weather service meteorologist in Upton.

Coastal areas saw waters 2 to 3 feet above astronomical high tide Tuesday morning, leading to “moderate coastal flooding” along Nassau’s and Suffolk’s South Shores, Vaz said, with minor flooding along the North Shore.