Long Island may get a steady dose of snow in the coming week, forecasters say.

Snow is predicted to arrive Monday night and continue to blanket Long Island through Wednesday evening, according to the National Weather Service.

The impending winter storm could bring 1 to 4 inches of snow through Monday night.

Snow is expected to continue Tuesday and Wednesday, but the service had no estimates of accumulation.

Friday’s storm left 9.8 inches of snow at Long Island MacArthur Airport in Ronkonkoma, 11 inches in South Huntington, 12 inches in Setauket, recorded by a weather service employee, and 10.5 inches in Plainview, measured by a trained spotter.

Overnight into Sunday, temperatures will drop into the mid-20s, creating the potential for more ice, said Faye Barthold, meteorologist with the service’s Upton office.

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On Friday “after the storm, the sun came out and everything melted, and then froze overnight,” she said. “You’ll see something like that” Saturday night.

Highs for Sunday are expected to be in the mid-40s and sunny before two potential storms move in. Late Sunday into Monday, meteorologists are expecting a system to move through over the Atlantic.

Barthold said that system’s upper edge will brush the Island and possibly deposit snow, though the amounts are still uncertain.

“During the day on Monday, we’ll see a chance of snow across the entire Island,” she said.

Minor tidal flooding also is possible Monday, which brings a new moon, the weather service said.

Overnight lows Monday through Wednesday will be in the mid-20s. The storm is expected to clear by Wednesday night.