No coastal watches or warnings were in place for Chris as of Sunday.
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.
"Strengthening is expected during the next couple of days, and Chris is forecast to become a hurricane late today or tonight", the hurricane center said.
Puerto Rico, which was devastated by Hurricane Maria in September, remains under a state of emergency.
Rossello told reporters the island would probably experience power outages, given that its electricity grid has become more vulnerable since Hurricane Maria.
At least 24,000 homes and businesses were in the dark in Puerto Rico as the remnants of Hurricane Beryl brought rain and strong winds to the island.
Beryl was downgraded from a hurricane to a tropical storm over the weekend, but could pick up strength as it moves through the Bahamas.
A forecast released by the NHC predicted Chris will move up the coast toward MA by Thursday morning, reaching Nova Scotia on Friday before continuing north to Newfoundland, Canada.
Now, meteorologists expect the storm to turn into a full-fledged hurricane by Monday night, as it continues to intensify over the warm waters of the Gulf Stream.
Beryl is has been downgraded and is now considered remnants of a tropical storm. Barbados' government removed at tropical storm watch.
"So it is critically important that we keep an eye on friends, family and neighbours who may be at risk".
An increasing heat dome of high pressure is responsible for trapping the tropical storm off the North Carolina coast, according to The Weather Channel.
Puerto Rico Health Secretary Rafael Rodriguez added that all those with serious health conditions to seek shelter at health facilities.
As of 4 a.m. CDT Monday, Tropical Storm Chris was located about 200 miles south-southeast of Cape Hatteras, N.C., and was drifting south at 1 mph.