"The reality of the situation is that the long-term future of Isaac is cloudy, and the best advice is just to follow [National Hurricane Center] advisories every six hours to see if we gain any confidence", forecaster Eric Blake said.
Rainfall totals are expected to be 3 to 5 inches, with amounts up to 8 inches possible, according to the weather service office in Corpus Christi.
Winds of 40 mph extend outward up to 115 miles (185 km) from the center of the tropical cyclone.
A Tropical Storm Watch which had been issued for St. Kitts and Nevis, Montserrat, Barbuda and Antigua was also expected to be discontinued by Thursday evening. A hurricane watch stretches from Edisto Beach, South Carolina to the South Santee River.
NOAA satellite photo taken at 8:30 p.m. Wednesday shows Tropical Storm Isaac, right, on the doorstep of the Antilles, while Hurricane Florence, a Category 4 storm, takes aim at the US east coast.
For this reason, all warnings and storm surveillance for the Lesser Antilles have been raised.
The system grew into a named tropical storm last Saturday afternoon and flared up to a Category 1 hurricane Sunday night - becoming the fifth-named hurricane of the 2018 Atlantic season.
In Jacksonville, North Carolina, next to Camp Lejeune, firefighters and police fought wind and rain as they went door to door to pull more than 60 people out as the Triangle Motor Inn began to crumble. In addition to wind impacts, there's going to be a risky storm surge ("wall of water" that arrives) and then persistent rainfall. "The models indicate it will travel up the west side of the United Kingdom, before crossing Scotland and going out the north of Scotland, but that could change as the storm degrades and changes its habits". "Near the coast, the surge will be accompanied by large and destructive waves", the NHC added. Swells generated by the storm could produce life-threatening surf and rip current conditions.
"Interests elsewhere in the southeastern and mid-Atlantic states should monitor the progress of Florence", said the NHC.
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"The sun rose this morning on an extremely risky situation and it's going to get worse", he said at a news conference in Raleigh. More than 722,000 homes and businesses were without power in the Carolinas early on Friday, utility officials said.