The path prediction, or ‘cone’, of the storm had last week indicated that Lee would only brush State coastlines before heading to Newfoundland.
Ms Davis warned this weekend will bring the highest risk of impact from the storm which will include ‘very dangerous’ sea conditions.
She said: “What is interesting is that the cone is including south-eastern New England, so we are going to watch very closely this forecast.
“Bermuda needs to watch out but as we go through this weekend is when we expect to see some of the effects of this storm.
Hurricane Lee in the Atlantic
“Regardless, what we are going to see all along the east coast is continued high surf and very dangerous rip tides.”
In Lee’s wake, another hurricane Margot is building strength and heading north-north-westwards in Atlantic waters.
A third low-pressure system off the coast of Africa has been flagged by the National Hurricane Centre (NOAA) with a 70-per-cent chance of building into a third tropical storm.
Jim Dale, US weather correspondent and meteorologist for British Weather Services, said: “These systems are currently queuing up in the Atlantic.
“Sea waters are unusually high at the moment, and this is giving these systems fuel to build, as we have seen with Lee and Margot.
“At the moment it is a waiting game, and in terms of where will see the impact of these storms, it is all to play for.”
A spokesman for the NOAA said: “The National Hurricane Centre is issuing advisories on Hurricane Lee, located several hundred miles south of Bermuda, and on Hurricane Margot, located over the central subtropical Atlantic.
“A broad area of low pressure over the eastern tropical Atlantic continues to produce disorganized showers and thunderstorms.
“Gradual development of the low is expected after that and a tropical depression is likely to form by this weekend while the system moves west-north-westward or north-westward.”