Forecasters said the storm was stationary and that little motion is expected during the next two or three days.
The storm was centered about 160 miles (260 kilometers) south of Cape Hatteras late Saturday afternoon, with maximum sustained winds of 35 mph (55 kph).
Swells from the tropical storm could produce unsafe surf conditions along the Carolinas and mid-Atlantic states.
Many worry Beryl will cause power outages across Puerto Rico given the fragility of the US territory's electrical grid after Maria destroyed up to 75 percent of its distribution lines a year ago.
Officials in the French Caribbean island of Guadeloupe said people should prepare for high winds and risky waves.
Tropical Storm Beryl is churning in the Atlantic on Sunday and taking aim at the small islands that make up the eastern Caribbean.
"People are very aware, and they want to be prepared", Colon said.
"I think the memories from (last year's) hurricanes are so fresh that we have a clear idea of the effects and which items can be scarce or hard to find", he said.
As it meanders off the Carolina coast, Tropical Storm Chris is expected to strengthen into a hurricane. It is forecast to pass about 70 miles (113 kilometres) south of Puerto Rico on Monday, but forecasters said the storm-wracked USA territory could experience winds of more than 40 mph (64 kph) and flooding and mudslides from up to four inches (10 centimetres) of rain.
The center added that the French tourist islands of Martinique, Guadeloupe and St Barthelemy, as well as French-Dutch St Martin, were under tropical storm watch, meaning that tropical storm conditions were possible. "We can't take chances with weather", Jeffrey Xavier, manager of Mr.
Though not now under any advisories, the Leeward Islands, the Virgin Islands, Puerto Rico and the Dominican Republic should be monitoring Beryl's progress.
"People have to remain alert", Lojero told The Associated Press.
The hurricane centre said Beryl's remnant had maximum sustained winds of 40 miles per hour (65 kph) late Sunday and was moving west-northwestward at 26 miles per hour (43 kph). Forecasters say the storm is likely to maintain its hurricane status as it approaches and crosses the islands.