Arthur was downgraded from a hurricane to a tropical storm early Saturday, as its sustained winds dropped to 70 mph, the National Hurricane Center said.
Tropical storm warnings previously issued for Nantucket and Cape Cod have been discontinued.
The first named storm of this hurricane season caused street flooding and knocked out power along the North Carolina coast, but it appears not to have done large-scale damage.
The center of Arthur is forecast to pass over or near western Nova Scotia on Saturday. The system should be no more than a "post-tropical cyclone" by then, meaning it will feature rain and little else.
The coast of Maine should expect 40 mph winds as Arthur passes.
The hurricane center warns that potentially deadly rip currents can still form at beaches from the Mid-Atlantic northward, even though Arthur may be far away.
CNN's Greg Botelho contributed to this report.
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