BOSTON (CBS) — A little more than two inches of snow fell in Boston overnight, but it wasn’t enough to set a new record in the city.

Check: Snow Totals: Who Got The Most?

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According to the National Weather Service, as of 7 a.m. Monday, 104.1 inches of snow had fallen at Logan Airport this winter.  It is still the second snowiest since weather record keeping began in 1891.

The record of 107.6 inches was set in the winter of 1995-96.

So, right now Boston is just 3.6 inches away from setting a new record.

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There will be some more snow in the middle of this upcoming week.

The next batch is due Tuesday night between 8 and 10 p.m., according to WBZ-TV meteorologist Danielle Niles, but it will transition over to rain early Wednesday morning.

About 1 to 3 inches of snow is expected before the change to rain.

There may be another round of small snowfall Wednesday night into Thursday.

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Watch Danielle Niles’s forecast: