Republican South Carolina Senate candidate Darline Graham is projected to have lost her race, handing Democrats their first victory in the state for 28 years.
Democrat Annie Andrews, a former paediatrician, was on course to pull off a stunning upset in Tuesday's midterm elections, according to the BBC's US partner CBS.
Graham was appointed to fill the seat in July after the sudden death of her brother, Senator Lindsey Graham, a move that won support from President Donald Trump.
A political newcomer, she conceded during the primary that she was "not that informed on national security".
Trump won the state by 18 points in 2024.
During her primary campaign, Graham acknowledged her lack of political experience, particularly after stumbling on a foreign policy question during a recent debate.
Asked about the US stance towards Taiwan, Graham had said: "National security is not my thing, not my area of expertise, but I do support the military."
Her brother, Lindsey Graham, was elected to the Senate in 2002 and was one of Washington's most influential voices on foreign policy, often pushing for US military intervention overseas.
Ossoff is seen as a potential leading contender for the Democratic nomination for president in 2028 if he throws his hat in the ring.
It's the first time the state has elected a Democratic senator since 2008.
The Democratic candidate has won the state's open seat, making history as the first openly-gay man elected to the Senate.
Voters in Iowa, Georgia and Ohio spoke to BBC reporters as millions of Americans decide who will control Congress.
An in-depth look at the key polling, races and issues in an election that will define Trump’s final two years as president.
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