Sen. Mike Lee, R-Utah, one of the most conservative members of the U.S. Senate, is planning to run for a top leadership post.

The Washington Examiner has learned that Lee is aiming to serve as the chair of the Senate Republican Policy Committee, which is the fourth-highest ranking position in the Senate, charged with helping craft the party’s policy agenda. It is a position that has been held by Sen. John Barrasso of Wyoming since 2012.