South Carolina state Sen. Tom Davis (R) doesn't want to replace Sen. Jim DeMint (R-S.C.).

"I've gone ahead and told the governor's office I'm not interested. I've put so much work into the 2013 legislative session, I couldn't in good conscience walk away from that," he told The Hill on Thursday. "To make Gov. Haley's job an iota easier, I just called to let them know."

Haley will name a replacement for the next two years of DeMint's term when he resigns in January, and a special election will be held in 2014 for the remainder of the term. Speculation for a replacement has centered around Rep. Tim Scott (R-S.C.), with sources telling The Hill that Scott is DeMint's preferred replacement, though Haley could pick someone else and could also name a caretaker who promises not to run for a full term.

Davis, a former chief of staff and campaign manager for South Carolina Gov. Mark Sanford (R), is viewed as an up-and-coming politician in the Tea Party wing of the party. While many have speculated that he's interested in running against Sen. Lindsey Graham (R-S.C.) in 2014, he told The Hill on Wednesday that he "probably won't."

He also said DeMint's decision might make it less likely that Graham could face a challenge, though he still hopes someone will run against him from the right.

"Certainly if there are two races the odds that potential rivals for one race may divert to the other race are high," he said.