Sen. John Cornyn (R-TX) is calling for term limits on the Senate GOP‘s leader — even as he runs to succeed current Senate Minority Leader Mitch McConnell (R-KY).

McConnell has been the Republican leader in the upper chamber of Congress since 2007 and is the longest-serving Senate leader in history. The Kentucky Republican announced last week he would be stepping down as leader later this year, with Cornyn and Sen. John Thune (R-SD) both vying to lead the conference after McConnell steps down.