NASHVILLE — With newly won GOP majorities in the General Assembly, every prominent Republican in Tennessee seems to be angling for one of Tennessee’s three constitutional officers’ positions.

But former U.S. Rep. Van Hilleary, R-Tenn., said that despite speculation, he is not seeking one of the posts, secretary of state.

“I’m not a candidate for secretary of state,” Mr. Hilleary said Monday while visiting the War Memorial Building where Republican legislators’ offices are. “You always consider things, but I didn’t consider it very long — much time at all. I’m focused on a private-sector career.”

Still, noted Mr. Hilleary, who ran unsuccessfully for governor and U.S. Senate, “I still love politics.”

His comments came as he accompanied someone who is interested in becoming the state’s next treasurer. That would be Ira Brody, a partner in the Nashville-based investment bank InsCap Management who worked as a top assistant to Republican George Pataki when he was New York’s governor.

He is among a number of Republicans seeking to persuade GOP leaders and lawmakers to elect them secretary of state, comptroller or treasurer. In Tennessee, the positions are filled not by voters but by the state’s 132 legislators.

Republicans in the Nov. 4 elections won a 50-49 majority over Democrats in the House and increased their Senate position to 19-14. That gives them 69 votes versus 63 Democrats. And that puts Secretary of State Riley Darnell, Comptroller John Morgan and Treasurer Dale Sims — all Democrats — in jeopardy of losing their jobs.

Others seeking posts include Justin Wilson, one-time deputy to former Tennessee Republican Gov. Don Sundquist, who has talked with Lt. Gov. Ron Ramsey, R-Tenn., among others, about the state comptroller’s job.

Former state Sen. Rosalind Kurita, a Democrat turned independent; as well as the GOP’s unsuccessful 2006 nominee for governor, Jim Bryson; former Tennessee Republican Party Chairman Bob Davis; and the state GOP’s current director, Randy Stamps, have said they are interested in the secretary of state post.