Idalia was churning about 80 miles (130 km) off the western tip of Cuba as it barrelled north, packing maximum sustained winds of 70 mph (112 kph), the Miami-based National Hurricane Center said in its latest advisory.
The storm's growing intensity and its northerly track put some 14 million Floridians under hurricane and tropical storm warnings along the Gulf of Mexico.
Authorities warned that the chief hazard to human life posed by the storm would be from surging walls of seawater driven inland by high winds, inundating low-lying coastal areas.
Storm surge warnings were posted for hundreds of miles of Gulf Coast shoreline, from the Sarasota area north through Tampa and stretching to the sport-fishing haven of Indian Pass at the western end of Apalachicola Bay.
"Buckle up for this one," Florida Governor Ron DeSantis said during a news conference on Monday afternoon, adding that he had spoken to US President Joe Biden and the director of the Federal Emergency Management Agency (FEMA), Deanne Criswell.
"Do what you got to do. You still have time today. You have time for most of tomorrow," he said, urging Floridians to prepare for the potentially dangerous conditions.
CUBANS EVACUATE
Cubans rushed to evacuate coastal towns, batten down homes and tie down fishing boats as Idalia bore down near the western end of the island nation on Monday.
Chocolate-brown floodwaters had swamped the small fishing village of Guanimar, south of Havana, by mid-afternoon.
Decades-old buses missing floorboards and windows carried residents to higher ground as winds howled, rattling tin roofs and slamming fishing boats tucked in the mangroves.
"We've had two days of rain already," said Yadira Alvarez, 34, as she prepared for evacuation with her five children. "We try to prepare, but no matter what we do everything will be soaked."
Farther to the west, more intense winds closer to the storm centre pounded the tobacco-rich province of Pinar del Rio, home to the raw material for fine Cuban cigars.
Authorities had evacuated tens of thousands of people from that province as well as the neighbouring farm province of Artemisa.
Idalia was forecast to reach hurricane strength late Monday and attain Category 3 force - classified as a major hurricane on the five-step Saffir-Simpson wind scale - by the time it makes landfall in Florida on Wednesday. Hurricane forecasts showed Idalia's centre on track to come ashore in Florida's Big Bend area, where the state's Gulf Coast panhandle transitions into its peninsula region.
Shannon Hartsfield, who runs a fishing boat in Apalachicola Bay in Franklin County on the panhandle, was heeding the warnings.
Hartsfield and many of his fellow anglers had pulled most of their boats from the bay and moved them to high ground, he said. Other fishermen who ran out of time and left their crab traps behind must now wait until after the storm to assess the damage.
"It could jog a little west and come straight at us," Hartsfield said. "Hopefully we won't catch the worst of it."
To the south, Manatee County was one of a handful of jurisdictions to order mandatory evacuations on Monday, telling residents to seek higher ground or head out of the storm's expected track.
By Tuesday, Florida's Gulf Coast, southeastern Georgia and eastern portions of North and South Carolina could face torrential rains of 4 to 8 inches (10 to 20 cm) that could unleash scattered flooding. Along with the heavy rain, winds of more than 110 mph (177 kph) could result in life-threatening storm surge, the hurricane centre warned.
School districts across the region cancelled classes starting on Monday afternoon. Tampa International Airport planned to suspend commercial operations beginning at 12:01am Tuesday.
Like many beachfront communities along the coast, the city of Bradenton opened sandbag stations on Monday and urged its 55,000 residents to stay vigilant.
"Let's be prepared - secure items that could become airborne, gas up your car, have cash and bottled water on hand," officials said on the social media platform X, formerly Twitter.
DeSantis declared a state of emergency for 46 Florida counties. Some 5,500 National Guard troops have been mobilized and thousands of electricity workers readied to help restore power quickly after the storm passes.
To the east of Idalia, Hurricane Franklin, the first major hurricane of the season, meandered in the Atlantic, and was forecast to turn to the northeast over the next two days. The Category 3 hurricane threatened to bring heavy swells to Bermuda and the US East Coast throughout the week.