The storm could strengthen into a major hurricane by Thursday, the U.S. National Hurricane Center said. However, forecasters say Kirk is expected to churn in the ocean and not touch land.
The storm was about 1,070 miles (1,720 kilometers) west of the Cabo Verde Island with maximum sustained winds of 75 mph (120 kph).
There were no coastal watches or warnings in effect, and the storm system was not yet deemed a threat to land.
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It is the eleventh named storm of the Atlantic hurricane season.
This comes after Hurricane Helene left a path of destruction across the south, killing nearly 160 people.
Two other named storms are in the Atlantic right now are Isaac and Joyce but it is unclear what, if any, impact they will have in the United States.
RELATED: Several active storms in the Atlantic being monitored, with more development expected
New tropical threats in Atlantic
Hurricane season officially ends on November 30.