This general motion is expected to continue for the next few days.
Gradual weakening is forecast during the next 72 hours.
The US National Hurricane Center said the storm is packing winds of 140km/h, but it is expected to weaken from a tropical storm as it moves north from the Azores towards Ireland and the UK.
While a tropical storm watch is in effect for St. Kitts and Nevis, at Pond Hill, Nevis, forecaster Harry W. Hallstrom said, "Isaac is getting ripped apart with wind shear". The meteorological service of Antigua and Barbuda has issued a Tropical Storm Watch for Antigua and Montserrat.
Rain projections also increased, with some locations along the North Carolina coast now expected to get up to 40 inches.
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Hurricane Florence close to landfall in N. Carolina
The Miami-based center says Florence is bringing "catastrophic" fresh water flooding over a wide area of the Carolinas. Ocean water flowed between homes and on to streets on the Outer Banks; waves crashed against wooden fishing piers.
The storm is likely to die out by Wednesday, the forecaster said.
However, according to the latest projections, the storm might shift slightly to the south and affect Georgia with heavy rain and possible flooding.
Isaac was moving west Wednesday afternoon at a speed of nearly 17 miles per hour.
Although Florence was downgraded from Category 4 status, it is still considered an extremely unsafe storm with maximum sustained winds near 125 miles per hour.
The agency is also monitoring a tropical disturbance that has a 60 percent chance of forming a tropical storm. Although the shower activity is still disorganised, upper-level winds are forecast to become more conducive for development, and it is likely that a tropical depression will form Thursday or Thursday night, before the system reaches the western Gulf coast. These conditions could allow for regeneration of the system as it approaches Cuba and the Yucatan Peninsula, but given the uncertainty in whether Isaac will survive long enough to take advantage of these conditions, the official forecast still calls for dissipation, the NHC said.