"Forecasters predict it will not grow to its full potential".
However, it added that upper-level winds are expected to become less conducive for development by this weekend when the system approaches the Lesser Antilles. If it strengthens, it would be named Beryl. The cold front that is expected to bring relief to the area over the weekend will help to keep that area of low pressure out to sea.
Maximum sustained winds are near 35 miles per hour (55 km/h) with higher gusts.
"Strong wind shear, dry air, and dust are likely to cause the feature to weaken and may result in a total demise of Beryl", added AccuWeather's Paul Walker.
Even so, the islands in the Caribbean that were left battered and bruised after the 2017 hurricane will face stormy conditions on Sunday and Monday.
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A tropical wave heading for the Caribbean is now a tropical depression and is headed for the Lesser Antilles.
The average hurricane season hurricane season sees 12 named storms and six hurricanes and Colorado State predicted an above-averge season with 14 named storms and seven hurricanes in April.
"Beryl is a tiny tropical storm". So, at this point there are no concerns for impacts for the U.S.
The storm is one of two that forecasters have been watching over the last week.