Hurricane watches were in effect on those islands.
The storm brought high storm surge near 13 feet and flooding rain as far as 40 miles inland of the storm.
Large waves lashing coastal regions also have the potential to harm by propelling "beach material" onto seafronts, the warning said.
The storm is moving northwest at 5 miles per hour and has maximum sustained winds close to 90 miles per hour.
The government of the Netherlands has discontinued the Tropical Storm Watch for Saba and St. Eustatius. "What we will get are the remnants of the tropical storm". The hurricane will weaken as it moves over cooler water, and is expected to be downgraded from hurricane to tropical storm status before making the transition to post-tropical storm on Sunday.
All watches and warnings that had been issued on neighboring islands were canceled Thursday.
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Some slight strengthening is possible during the next couple of days.
The storm is now around 530 miles southeast of Cape Fear, North Carolina, and is moving west-northwest at 17 mph.
Although the storm is approaching the USA coastline as a Category 2 hurricane after weakening from a Category 4 storm, that doesn't mean the storm will be gentle.
"Interests elsewhere in the southeastern and mid-Atlantic states should monitor the progress of Florence", said the NHC.
Amid a flurry of tropical weather activity in the Atlantic Ocean basin, a new tropical disturbance is set to catch attention in the coming week as it slides from the Caribbean Sea into the western Gulf of Mexico. Regardless of development, heavy rainfall and gusty winds are expected to continue over western Cuba and portions of the Northeastern Yucatan Peninsula today [Tuesday]. The storm is more than likely to develop into a tropical depression and bring several inches of rain to the Houston area.