Parts of the Florida Keys, the low-lying islands which bore the brunt of Hurricane Irma when the category-four storm struck on Sunday, are to re-open.
Entry is being restricted to residents and business owners as work continues to clear roads and check the state of bridges linking the islands.
Some 60% of homes in the state are still without power.
Irma, which has since rapidly weakened, is being linked to 10 deaths in the United States.
Six people died in Florida, three in Georgia and one in South Carolina.
The storm also left a trail of destruction in the Caribbean, where at least 37 people were killed.
French President Emmanuel Macron has arrived to see the storm damage for himself, while the UK’s Foreign Secretary, Boris Johnson, is heading to the British Virgin Islands.
Both France and Britain have been criticised for not doing enough to help their nationals in overseas territories affected by the hurricane.
Dutch King Willem-Alexander spent Monday night on the Dutch side of St Martin, an island shared between France and the Netherlands.
“Even from the plane I saw something I have never seen before,” the Dutch royal told the NOS public newscaster. “I have seen proper war as well as natural disasters before, but I’ve never seen anything like this”.
“Everywhere you look there’s devastation, you see the collapse,” he added.
Florida Governor Rick Scott used the same word – “devastation” – after flying over the Keys on Monday.
“I just hope everybody survived,” he said. “It’s horrible what we saw. Especially for the Keys, it’s going to be a long road.
“We saw a lot of boats washed ashore and we saw any, basically, any trailer park there overturned.”
Thousands of people are believed to have ignored calls to evacuate last week, and clung on in the dangerously exposed islands during the storm.
However, Governor Scott added: “I didn’t see the damage I thought I would see.” Storm surges had turned out to be “not as bad as we thought”, he said.
Teams are still working to clear Highway 1, the road connecting most of the inhabited islands, and bridge inspections are continuing.
People with authorisation are being allowed into the towns of Key Largo, Tavernier and Islamorada from 07:00 (11:00 GMT), the authorities in Monroe Country said.
They were warned that services on the islands were limited: most areas were still without power and water, mobile phone signals were patchy and most petrol stations were still closed.
The US aircraft carrier Abraham Lincoln has arrived off Florida and other navy ships are due in the area on Tuesday to help distribute food to the Keys and evacuate residents.
Other parts of the state escaped the storm lightly compared to the Caribbean islands.
“The storm surge flooding in Miami is a mere fraction of what would have happened if the core of the storm had been further east,” Rick Knabb, former director of the National Hurricane Center, said in a tweet.
Miami’s Mayor, Carlos Gimenez, was relieved the damage was no worse.
“We were spared the brunt of this storm,” he said. “We came out much better than other parts of the state and we have to thank God for that.”
Returning to her home in Miami’s Little Haiti neighbourhood, evacuee Melida Hernandez, 67, found her home split down the middle by a tree.
“I wanted to cry, but this is what it is, this is life,” she told Reuters news agency.
President Donald Trump has released emergency federal aid for Florida, describing the hurricane as a “big monster”.
The storm was downgraded as it moved north towards Atlanta, Georgia, with maximum sustained winds of 35mph (56km/h) recorded, the National Hurricane Center (NHC) said in a statement.