The latest projections show the storm staying offshore, moving parallel to the coast and not bringing any threat as it heads in a northeasterly direction.
It is expected to move away from the U.S. in the next 24 hours.
Some rough surf and rip currents are possible along the East Coast.
Bill strengthened from a tropical depression which formed off the North Carolina coast earlier Monday.
The National Hurricane Center announced Monday morning that the low pressure system sitting about 100 miles east of Cape Hatteras had officially become Tropical Depression Two.
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The storm, much like the first of the season, Ana, is not expected to not pose a threat to people or property on land.
The system is moving northeast at 23 miles per hour and is expected to continue strengthening through Tuesday and then dissipate Wednesday without ever making landfall.
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A third tropical depression could become tropical storm Claudette by the end of the week.
It may bring heavy rain and gusty winds to the western and central Gulf Coast states from Houston to New Orleans.