Toward the weekend, it may hit Newfoundland as a tropical storm.
Met Office spokeswoman Nicola Maxey said that tropical storm Chris, which is building on the USA east coast and is predicted to become a hurricane, "will influence the weather but we can not tell what that influence will be at the moment because it is still developing".
Even if it does strengthen, most computer models have Beryl curving away from Florida into the Atlantic.
The National Weather Service issued a flash-flood watch for Puerto Rico, warning of thunderstorms and wind gusts.
Chris, which formed off the North Carolina coast early on Sunday, was packing maximum sustained winds near 70 miles per hour (110 kph) on Monday afternoon, causing swells that will batter the coasts of the Carolinas for the next few days, the National Hurricane Center said.
Chris is starting to move northeast around 9 miles per hour.
Locally heavy rains and gusty winds were likely to continue from eastern Cuba and Hispaniola northward across the eastern Bahamas for the next day or two.
"One projection showing low pressure just to the west of the United Kingdom is bringing wind and rain, but on another Chris is barely there".
Environment Canada says given the storm's existing track, the strongest winds are expected to be over Newfoundland's Avalon Peninsula. It's expected to remain "well offshore" of the US coast, forecasters say, instead steadily heading for Newfoundland while picking up forward speed through Thursday night.