South Carolina Gov. Nikki Haley (R) has finalized her shortlist of candidates to replace outgoing Sen. Jim DeMint (R-S.C.), according to a source close to the governor.

The list includes five Republican South Carolina politicians who are close to Haley: Rep. Tim ScottTim ScottSenate passes college anti-Semitism bill The Hill's 12:30 Report 115th Congress will be most racially diverse in history MORE, Rep. Trey GowdyTrey GowdyChatter grows that Ryan could step down Lawmakers press Lynch for briefing on Yahoo secret email scanning reports Clinton IT aide pleads Fifth, skips hearing MORE, former state Attorney General Henry McMaster, former first lady Jenny Sanford and Catherine Templeton, a conservative attorney Haley has picked to head the state Department of Health and Environmental Control.

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One name notably not on the list: Rep. Mick Mulvaney (R-S.C.), who said last week he thought he was in the mix and sources say has been considering a Senate run.

The source said Haley's order of preference of the candidates is "still fluid."

CNN first reported the list in a story Haley refuted during a Tuesday afternoon press conference, according to local reports. She said only her husband knows who's on the list.

Scott has been the most buzzed-about name, and sources told The Hill last week that he is DeMint's preferred replacement. Sanford and McMaster were both major backers of Haley's gubernatorial run.

— Posted at 12:01 p.m. and updated at 1:05 p.m.