CNN’s continuing coverage of Hurricane Lee and Monday’s forecast can be found here.

CNN  — 

Hurricane Lee has strengthened back into a Category 3 hurricane with maximum sustained winds of 120 mph, satellite pictures and data from a hurricane hunter plane indicated Sunday.

The powerful storm, which has fluctuated in intensity throughout its time over the open Atlantic, is expected to become a very dangerous Category 4 by late Sunday or early Monday morning, according to the National Hurricane Center.

“Dangerous surf and rip currents have begun to reach portions of the southeast (United States) East Coast and are forecast to worsen and spread northward along much of the US East Coast during the next couple of days,” the National Hurricane Center said in an update Sunday.

Lee is forecast to slow down considerably as it moves well north of Puerto Rico, the British and US Virgin Islands and the northern Leeward Islands, but it will have an impact there and on other Caribbean islands. It remains too early to determine its long-term track for later this week and how significant the impacts could be for northeastern US states, Bermuda and Atlantic Canada.

By midweek, Lee will make a turn to the north, eventually moving between Bermuda and the US East coast late this week.

The East Coast is bracing for the same kind of large swells and rip currents that the Caribbean is facing now.

“Swells generated by Lee are affecting portions of the Lesser Antilles,” the National Hurricane Center warned Friday night. The British and US Virgin Islands, Puerto Rico, Hispaniola, the Turks and Caicos Islands, the Bahamas and Bermuda also face swells this weekend that can bring life-threatening surf and rip conditions.

A satellite image provided by NOAA shows Hurricane Lee churning in the Atlantic.

Waves breaking at 6 to 10 feet were forecast for Sunday, according to the National Weather Service office in San Juan, Puerto Rico. Larger waves were expected this week along east- and north-facing beaches.

“Beach erosion and coastal flooding is possible,” the office posted on social media.

Lee, which was a Category 1 storm Thursday, intensified with exceptional speed into Category 5 status as it moved west across the Atlantic, more than doubling its wind speeds to 165 mph in just a day.

Lee, which was a Category 1 storm Thursday, intensified with exceptional speed into Category 5 status as it moved west across the Atlantic, more than doubling its wind speeds to 165 mph in just a day.

Vertical wind shear and an eyewall replacement cycle – a process that occurs with the majority of long-lived major hurricanes – has since led to the weakening of the storm, the hurricane center said.

Hurricane Lee strengthened back into a Category 3 hurricane Sunday afternoon over the open Atlantic, and it’s starting to send dangerous rip currents to parts of the southeast US coast even as the storm’s longer-term path and effects are uncertain, forecasters said.

Lee, with maximum sustained winds of 120 mph, was centered Sunday night over the ocean about 310 miles north of the Caribbean’s northern Leeward Islands and headed northwest, the National Hurricane Center said in an 11 p.m. ET Sunday advisory.

The powerful storm, which has fluctuated in intensity throughout its time over the Atlantic, could become a Category 4 by Monday morning before fluctuating again later in the week, forecasters said.

It remains too early to determine Lee’s long-term track for later this week and how significant the impacts could be for northeastern US states, Bermuda and Atlantic Canada.

But the storm already was generating swells that were affecting many of the far eastern Caribbean islands as well as the British and US Virgin Islands, Puerto Rico, Hispanola, the Turks and Caicos, the Bahamas and Bermuda. Those swells could cause life-threatening surf and rip currents, the hurricane center said Sunday.

And “dangerous surf and rip currents have begun to reach portions of the southeast US East Coast and are forecast to worsen and spread northward along much of the US East Coast during the next couple of days,” the hurricane center said in the 11 p.m. ET Sunday advisory.

The storm grew larger – though not stronger – Sunday evening. Hurricane-force winds extended up to 75 miles from center by 11 p.m. ET, the hurricane center said – up from 45 miles six hours earlier.

By midweek, Lee is expected to make a turn to the north, likely moving between Bermuda and the US East coast late this week.

The East Coast is bracing for the same kind of large swells and rip currents that the Caribbean is facing now.

A satellite image provided by NOAA shows Hurricane Lee churning in the Atlantic.

Waves breaking at 6 to 10 feet were forecast for Sunday, according to the National Weather Service office in San Juan, Puerto Rico. Larger waves were expected this week along east- and north-facing beaches.

“Beach erosion and coastal flooding is possible,” the office posted on social media.

Lee, which was a Category 1 storm Thursday, intensified with exceptional speed into Category 5 status as it moved west across the Atlantic, more than doubling its wind speeds to 165 mph in just a day.

Vertical wind shear and an eyewall replacement cycle – a process that occurs with the majority of long-lived major hurricanes – then led to the weakening of the storm, the hurricane center said.

Differing scenarios on Lee’s impact

Computer model trends for Lee have shown the hurricane taking a turn to the north this week. But exactly when that turn occurs and how far west Lee will manage to track by then will play a huge role in how close it gets to the US.

Several steering factors at the surface and upper levels of the atmosphere will determine how close Lee will get to the East Coast.

Lee's potential track next week will be determined by multiple atmospheric factors including a strong area of high pressure to its east (yellow circle) and the jet stream (silver arrows) to its west.

An area of high pressure over the Atlantic, known as the Bermuda High, will have a major influence on how quickly Lee turns. A strong Bermuda High would keep Lee on its current west-northwestward track and slow it down a bit.

As the high pressure weakens this week, it will allow Lee to start moving northward. Once that turn to the north occurs, the position of the jet stream – strong upper-level winds that can change the direction of a hurricane’s path – will influence how closely Lee is steered to the US.

Scenario: Out to Sea

Track Scenario: An area of high pressure (yellow circle) to the east of Lee and the jet stream (silver arrows) to the west of Lee, can force the storm to track between the two, away from the US coast.

Lee could make a quick turn to the north early this week if high pressure weakens significantly.

If the jet stream sets up along the East Coast, it will function as a barrier that prevents Lee from approaching the coast. This scenario would keep Lee farther away from the US coast but could bring the storm closer to Bermuda.

Scenario: Close to East Coast

Track Scenario: An area of high pressure (yellow circle) to the east of Lee and the jet stream (silver arrows) to the west of Lee, can force the storm to track between the two, closer to the US coast.

Lee could make a slower turn to the north because the high pressure remains robust, and the jet stream sets up farther inland over the Eastern US. This scenario would leave portions of the East Coast, mainly north of the Carolinas, vulnerable to a much closer approach from Lee.

CNN’s Michelle Watson and Travis Caldwell contributed to this report.