The storm was about 725 miles east-south-east of Barbados and moved west at 12 mph starting at 17:00. ET, said the National Hurricane Center.
Dorian is expected to be close to hurricane strength by Tuesday as he approaches the Central Small Antilles.
An area of disorganized storms just off the coast of Florida has produced some showers across the southeastern region of the state and will continue to meander along the coast during the first half of the weekend.
Once the storm moves east on the open water later on the weekend, there is a better chance of intensification.
The probability is high in the coming days that a tropical cyclone will form, but forecasting models currently keep the storm off the coast.
Coastal areas in Florida, Georgia and Carolinas should still monitor this system.
Chantal, meanwhile, has decreased in intensity and is not a threat to the landing, but it is the only storm currently named in the Atlantic.
The system is closer to Europe than the United States and not to many people's radar.
We have just started
The hurricane season is a span of six months of waiting and storm monitoring. Coastal residents sit on pins and needles to see if they will be hit in that season.
It is easy to become complacent during the first half of the season, which is generally very quiet. Just because this year's hurricane season has started slowly does not mean it will remain so. September 10th is considered the peak of the season, but at the end of August there is generally more development – and that's exactly what's happening.
"With only three named storms and a hurricane so far, it might seem like we're below average." said CNN meteorologist Taylor Ward. "Indeed, it is exactly where we should be. The three storms have all been relatively weak and of short duration, but the heart of the season is here."
During an eight-week period surrounding September 10, storms start to explode rapidly. In a typical hurricane season, two-thirds of all storms occur during this statistical peak.
This is because the conditions in the tropics become the first for the development of the storm. Generally, by the end of August, the water in the tropics has warmed up in many places until the mid-1980s. Moreover, the wind cutting across the Atlantic begins to weaken, allowing the development of storms.
And this year El Nino has dissipated, making the conditions even more favorable for development.
"We're going to the Cape Verde season, where we often see the hurricanes of greatest impact," CNN senior meteorologist Dave Hennen said. "Tropical disorders move from Africa around the islands of Cape Verde and have plenty of time moving across the Atlantic to turn into big storms. Many of the most memorable storms, like Andrew and Katrina, are been the storms of Cape Verde, which makes this the most dangerous period of the year for hurricanes ".