It would likely move north and west in the coming days before making its way out into the distant ocean by Saturday morning.
Autumn weather is predicted to dominate this week with foggy nights alongside wet and windy spells. However, by that time, they are no longer expected to be hurricane, but mere remnants of their former selves.
Lee reaches major hurricane status as forecasters continue to track the progress of Hurricane Maria, which tore through the Caribbean and Puerto Rico last week before moving north alongside the U.S. East Coast.
The NHC said Lee does not pose an immediate threat and no coastal warnings have been issued for this storm so far.
The Met Office said the potential effects will be "far from those experienced in the Caribbean", but told Brits to prepare for very strong winds and heavy rain.
Currently Hurricanes Lee and Maria are in the Atlantic to the east of Canada.
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Rip current risk will also increase with this system, which is now given a 20 percent chance of developing into a tropical cyclone in the next two days and a 40 percent chance in the next five days.
Should it reach United Kingdom shores at the same time as Maria and Lee, large swathes of the country could be battered by strong gales and downpours. It too, is expected to accelerate to the northeast and weaken over cooler waters.
The country is set to be hit by heavy winds and rain at the end of the week as both hurricanes creep across the North Atlantic.
After that is ex-Maria, which looks like it might take a more southerly track through Sunday night and into Monday.
Unlike the tropical storm Katia, which hit Tecolutla, Mexico as a weak Category 1 storm this year, the 2011 hurricane was a powerful Category 4 hurricane that affected Europe.