Thirteen is about 830 miles east-southeast of the Northern Leeward Islands, according to NHC's 8 a.m. update.
Laura has maximum sustained winds of around 75 km/h, with its centre located south of the previously estimated position. It's predicted to become a hurricane in the Gulf, but the National Hurricane Center says it could weaken a bit before hitting the Texas coast near Houston, possibly by Tuesday morning.
A tropical storm watch is in effect for the Honduras/Nicaragua border west to Punta Castilla, Honduras and for the Bay Islands of Honduras.
By Friday afternoon, the storm taking aim for Texas, officially designated as Tropical Depression Fourteen, was northeast of Honduras and moving northwest at 14 miles per hour.
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The current track predicted the storm would make landfall near Houston by Tuesday morning.
"Laura could bring storm surge, rainfall, and wind impacts to portions of Cuba, the Bahamas and Florida early next week", notes the NHC, adding that the northeastern US Gulf Coast could be affected by the storm by the middle of next week.
Forecasters from the National Hurricane Center are closely monitoring the systems.
Forecasters urge residents to monitor the storm occasionally this weekend and to have hurricane kits and plans ready because of the large uncertainties in the storm's path and intensity.
"The system is forecast to be near or at hurricane strength when it reaches the Yucatan Peninsula of Mexico late Saturday".
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"This low pressure area is moving westward, and interests in Honduras and the Yucatan Peninsula should closely monitor its progress", the hurricane center said Wednesday night.
Residents have been advised to closely monitor the progress of the system and to heed local advisories.
En route, it's likely to soak flood-prone eastern Honduras, the Cayman Islands and parts of the Yucatan. The forecast shows a gradual strengthening as it moves quickly to the west-northwest.
Tropical Depression Fourteen will move close to the Yucatán Peninsula by Saturday evening.
Meanwhile, Tropical Depression 14 is forecast to be in the Gulf at the same time.
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"Hurricane forecasting is a delicate act".