Chris formed off the coast of North Carolina on Friday and is now about 160 miles off the coast of Cape Hatteras.
It might reach Nova Scotia by Thursday, although Environment Canada notes forecasters are still unsure about the storm's projected track and the system's intensity.
Tropical Storm Beryl has increased in speed but not in strength, and is expected to pass "a safe distance" south of the British Virgin Islands when the territory begins to experience storm conditions later today into Monday, July 9.
It however warned that "pockets of moderate to heavy showers and occasional gusty winds are still possible" with rainfall accumulations of one to two inches with isolated higher amounts.
While Chris is expected to become a hurricane, it will stay offshore and head to sea, according to the storm center.
Dominica and Guadeloupe remain on tropical storm warning while Martinique, St Martin, St Barthelemy, Saba, St Eustatius and St Maarten are on tropical storm watch.
The storm is forecast to come within 450 miles the west-northwest of Bermuda at noon on Wednesday, its closest point within the next 72 hours. It was expected to move slowly up the coast this week.
But the National Weather Service said Beryl remained on track to move south of the U.S. Virgin Islands and across western Puerto Rico on Monday, potentially bringing 2 to 3 inches (5-8 cm) of rain and gusty winds to the U.S. territory still recovering from the devastation wrought past year by Hurricane Maria.