Tropical-storm-force winds extend outward up to 115 miles from the center.
Since then, Kirk's leftovers have generally stuck together as they have continued to truck westward toward the Caribbean.
But regardless of whether or not Kirk intensifies further this time or remains a tropical storm, forecasters say the conditions up ahead in its path will not be amenable to the its long-term survival.
The weather system does not now pose any threat to land.
Tropical Storm Kirk, which lost strength and had dissipated earlier this week as it crossed the tropical Atlantic, has strengthened and reemerged Tuesday, according to the National Hurricane Center (NHC) in Miami.
Kirk has made a comeback as a tropical storm and is heading for the northern Windward Islands, triggering a tropical storm warning for Barbados, St Lucia, Dominica, Martinique, Guadeloupe and a tropical storm watch for St Vincent and the Grenadines.
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Tropical Storm Kirk was 415 miles east of Barbados and about 535 miles east-southeast of Martinique. Rapid weakening is expected on Friday after Kirk emerges over the Caribbean Sea.
Finally, Post-Tropical Cyclone Leslie, in the central Atlantic a few hundred miles southwest of Portugal's Azores Islands, has a 90 percent chance of becoming organized again over the next five days.
But, as with the remnants of Kirk, it's not expected to do much long term.
"A small-craft Warning means in this case that wind-speeds of 25 to 33 knots (47 to 62 km/h) and/or seas equal to or greater than 3m (10ft) will be affecting the marine area". Tropical storm conditions are possible within the watch area by Thursday afternoon or evening.
It said that tropical storm conditions are expected to first reach the warning area by Thursday afternoon, making outside preparations hard or risky.