BUXTON — A tropical weather system off the coast of North Carolina’s Outer Banks is expected to strengthen in the next day, bringing winds up to 45 mph and heavy rains that could flood low-lying areas, officials said.

Early today, the tropical depression with winds of 35 mph was about 95 miles south-southeast of Cape Hatteras and was expected to become a tropical storm this afternoon but not grow any stronger. A hurricane hunter aircraft was sent in to investigate the depression, the U.S. National Hurricane Center said.

A tropical storm warning has been issued for areas of the coast from Cape Lookout to the Oregon Inlet along North Carolina’s Outer Banks.

Robeson County is looking at a moderate chance of thunderstorms all week. There’s a 20 percent chance of storms today that will increase to about 40 percent overnight. The possibility of rainy whether is expected to stick around until Friday afternoon, with daytime temperatures around the high 80s to low 90s. The highest chance for rain in Robeson is Thursday night, when forecasts are calling for up to a quarter-inch of rainfall.

National Weather Service meteorologist Shane Kearns in Eastern North Carolina said in an interview that “anything is possible, but we’re not really seeing any kind of significant strengthening for the storm.”

Forecasters at the National Hurricane Center in Miami said that another tropical depression in the Gulf of Mexico could hit northern Florida as a tropical storm later in the week and possibly head toward the Atlantic coast. They cautioned that the storm’s exact path remained uncertain days in advance, but the storm was becoming better organized Monday night.

Beachgoers, boat captains and business owners waited warily for the storm to wash out one of the summer’s last busy weeks.

Tourists in North Carolina sought to take the approaching storm in stride.

Visitor Katherine Vega, 45, of Springhill, Tennessee, said she could handle a day indoors during her vacation. By Monday afternoon, she had already fled the Atlantic’s swelling waves and strengthening currents off Hatteras Island in Buxton.

“We were just knee-deep, and there were a few times where we had to run out because it kept sucking us in,” she said, adding she’d watch movies with her husband until the storm blows through.

“We came from Tennessee,” she said with a shrug. “There are tornado threats over there.”

“I would advise everybody to take a look at the weather,” Dare County emergency management director Drew Pearson said when asked whether visitors should keep their travel plans. “They need to make those decisions based on what they see in the weather forecast.”

The second depression was about 305 miles west of Key West, Florida, with maximum winds of 35 mph. It was moving west, but forecasters expect it could curve back to the northeast in the coming days. Authorities at some locations in the Tampa-St. Petersburg area of Florida were hauling out sandbags Monday to offer residents amid predictions of heavy rains.

On North Carolina’s Outer Banks, business owner Jennifer Scarborough said her biggest concern was that the first storm could saturate the area before another blow by the second storm.

“The second storm is the one I’m more worried about,” she said. “I’m definitely keeping an eye on it and planning accordingly. … If we have a lot of rain in a short amount of time that could be a problem.”

Roads along the thin barrier islands are prone to flooding and damage from erosion, including the two-lane N.C. Highway 12 that is the area’s main north-south artery.

“N.C. 12, our lifeline on Hatteras Island, even in a winter storm has some challenges,” Pearson said.

Scarborough, who manages Hatteras Harbor Marina and owns the Harbor Deli next door, said she’s receiving concerned calls from customers and that some captains are canceling fishing trips for Tuesday and Wednesday. With Labor Day approaching, the week represents one of the last busy stretches of summer for the area.

“It’s definitely making people think twice about coming here,” she said.

In the central Pacific, Hurricane Madeline strengthened Monday into a Category 4 storm about 515 miles east of Hilo, Hawaii. Top sustained winds reached 130 mph as Madeline moved west at 9 mph. A hurricane watch was posted for Hawaii County and those in the main Hawaiian Islands were urged to monitor the storm’s progress.

Elsewhere in the Pacific, Hurricane Lester weakened to a Category 3 storm with maximum sustained winds of 125 mph while churning west near 14 mph about 1,435 miles east of the Hilo, Hawaii. It posed no immediate threat to land.