Hunt also referred to Cornyn's support from GOP leaders in Washington. While Trump has not endorsed anyone in the primary, Senate Minority Leader John Thune, R-S.D., and the chairman of the National Republican Senatorial Committee, Tim Scott, R-S.C., are backing Cornyn.

Longtime Sen. John Cornyn is running for re-election and so far is leading his opponents in the polls. The Texas GOP Senate primary will take place on March 3, 2026. Cornyn, 73, has been a U.S.

Republican Rep. Wesley Hunt of Texas announces Senate run, joining incumbent Sen. John Cornyn and Attorney General Ken Paxton in heated GOP primary battle.