Hurricane Melissa live updates: No official death toll in Jamaica

Relief flights began Wednesday afternoon at the Norman Manley International Airport in Kingston, Jamaica, officials said.

Commercial flights are expected to begin again at the airport, which did not sustain serious damage, starting at 7 a.m. Thursday local time, according to Jamaica's transportation minister.

The Ian Fleming International Airport in northern Jamaica is also expected to reopen to commercial flights at 7 a.m. Thursday, the official said.

The airport in Montego Bay sustained damage in the storm and it is unclear when it will reopen to commercial flights, the official said. The airport will open to relief flights starting on Thursday.

Hurricane Melissa is now a Category 1 with winds up to 90 mph as it is starting to accelerate northeastward over the central Bahamas.

Damaging winds, flooding rain and a dangerous storm surge will continue in parts of the Bahamas through Wednesday night.

A hurricane warning remains in effect for the southern and central Bahamas, as well as Bermuda.

Up to 10 inches of rain and up to 7 feet of storm surge are possible for the Bahamas on Wednesday night. Bermuda could see brief hurricane conditions by Thursday night.

Melissa is then expected to be out to sea by Friday.

-ABC News' Melissa Griffin

Conditions are improving in Cuba as Hurricane Melissa, now a Category 2 storm, barrels toward the Bahamas.

A warning is in effect for the southeastern and central Bahamas. Up to 10 inches of rain and up to 7 feet of storm surge is possible on Wednesday.

Melissa will move into the Atlantic Ocean on Wednesday night. On Thursday night, the storm will pass west of Bermuda, possibly bringing hurricane conditions to the island.

Officials aren't able to conduct search and rescue efforts in the Jamaican town of Black River due to the damage Hurricane Melissa caused to the emergency operations center, Jamaica Constabulary Force officials said.

A container storing relief supplies was turned upside down by the storm, damaging everything inside, an official said

Conditions in the Black River area of Jamaica are “very bad,” Jamaica Constabulary Force Superintendent Coleridge Minto said, with destruction to major infrastructure, the court building and grocery stores.

“There is urgent need for support,” Minto said.

-ABC News’ Ellie Kaufman