The US president suggests he is considering a potential candidate to fill the late senator’s seat in South Carolina.

The disadvantage that the Republican majority in the United States Senate has suffered from the death of Lindsey Graham is likely to be short-lived.

Currently, Republicans hold 52 seats in the 100-member chamber, after losing Graham to a “brief and sudden illness” late on Saturday, according to his office.

But South Carolina’s election laws give Republican Governor Henry McMaster the authority to immediately appoint a replacement to fill Graham’s seat.

“In case of a vacancy in the office of United States Senator from death, resignation or otherwise, the Governor may fill the place by appointment,” the law says.

Graham’s term was set to expire in January. He was running for re-election in the November midterm vote.

A primary will be held next month to determine who will take his place as the Republican nominee. The first round of voting is set for August 11, and if no candidate wins a majority of the votes, a run-off would take place on August 25.

McMaster has released a brief statement mourning Graham, without mentioning plans to replace him. The law does not set a timeline for the appointment, but the governor is likely to fill the seat quickly to ensure that President Donald Trump’s agenda is not disrupted in the Senate.

Graham was one of Trump’s closest allies on Capitol Hill.

In his statement, McMaster called the late senator the “fiercest of fighters for South Carolina and America and a loyal and steadfast friend”.

“We grieve with Darline, his family and his devoted staff,” McMaster said, referring to Graham’s sister. “May God hold him gently in the palm of his hand. We shall not see his likes again.”

It is so far unclear who McMaster might select as Graham’s replacement. The governor might appoint a placeholder candidate who would fill the seat without seeking a full term in November’s midterms, to avoid influencing the election process.

He may also opt for someone who would run for the full term, which would give his pick the incumbent status that would boost their profile — and therefore, their chances at the ballot box.

Other governors have faced similar dilemmas. In California, for instance, Democratic Governor Gavin Newsom pursued both paths in separate appointments in recent years.

When Kamala Harris vacated her Senate seat to serve as US vice president in 2021, Newsom picked state legislator Alex Padilla to replace her. Padilla won a special election for the seat the following year.

But in 2023, when Senator Dianne Feinstein died, Newsom appointed political operative Laphonza Butler, who did not end up running in the 2024 election.

In Graham’s case, however, the White House might weigh in. Trump has suggested that he is considering backing a candidate to replace the senator.

“I have somebody that I think would be great, but I don’t want to say it now because it’s just too soon with Lindsey,” the US president told NBC News.

“I don’t want to even talk about anybody, but I do have somebody that I think is really good.”

South Carolina, a southern state on the US’s Atlantic coast, has been a Republican stronghold for decades. Trump won the state by nearly 18 percentage points in 2024.

But polls have suggested that Graham was not cruising to re-election. His Democratic opponent, paediatrician Annie Andrews, was closing the gap on him.

A June poll by Impact Research showed the late senator leading by only three percent.

Graham had become a polorising figure even within the Republican base, due to his staunch devotion to Israel and support for the US-Israeli war on Iran.

On Sunday, Andrews praised Graham without mentioning elections or politics.

“I hope that South Carolinians will join me in setting partisanship aside and offering gratitude to Senator Lindsey Graham for his service to the great state of South Carolina,” she said in a statement.