Her announcement comes after President Trump endorsed her for a full term.
Sen. Darline Graham, the sister of late Republican Sen. Lindsey Graham, confirmed in an interview with Fox News that aired Monday she will run for the seat for a full term, in addition to serving out the rest of Lindsey Graham's unfinished one.
"I've been praying a lot, talking to my family. But with the love of my family, with the support of his staff -- I know I'm a hard worker. I learned that from Lindsey. He cared about the people of this state. I've worked for almost 30 years for the people of this state," she said in the interview.
"I feel like I can do it," she continued. "I feel an inner peace about it. Will it be difficult? Yes, absolutely."
Asked by Fox News anchor Sean Hannity if she's inclined to get into the race or if she's made a final decision, Darline Graham said, "I've made a decision."
"You're in?" Hannity asked, to which she responded, "I'm in."
Darline Graham was appointed by South Carolina Gov. Henry McMaster to finish the final few months of her brother's current term, which expires in January. She was sworn in last week at the Capitol.
The late Sen. Lindsey Graham's spot on the November general election ballot for a full six-year term is being filled by a special Republican primary election set for August 11. Filing for candidates for the primary opens on Tuesday and closes on July 28.
Republican Reps. Ralph Norman and Russell Fry of South Carolina have already launched campaigns, as has businessman Mark Lynch, who ran against Lindsey Graham in the state's regular June primary.
But on Friday, President Donald Trump endorsed Darline Graham, encouraging her to run for the seat and writing, "There would be nobody better to honor the legacy of her beloved brother, Lindsey."
Darline Graham served as a commissioner on the South Carolina Commission for the Blind and has worked in other state roles, including in roles where she worked with individuals with disabilities.
Darline Graham has spoken about how her brother took care of her after both of their parents passed away when they were young.
Lindsey Graham died unexpectedly on July 11 at the age of 71. Memorial services for the longtime Republican lawmaker will take place in Washington, D.C., and South Carolina next week.
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