President Donald Trump is nominating two Texans to the 5th U.S. Circuit Court of Appeals: Texas Supreme Court Justice Don Willett and Dallas attorney James Ho.
"Both of these gentleman, I think, will do an outstanding job," Cornyn told reporters.
They would need to be confirmed by the Senate.
Willett has served on the state Supreme Court since 2005. During the 2016 presidential race, Trump had named Willett as a potential choice for the U.S. Supreme Court.
Ho is the former solicitor general of Texas. He has also served as chief counsel for Cornyn.
Gov. Greg Abbott called the nominations "outstanding choices."
"As Texas' Attorney General, I had the pleasure of working with both Don and James and can attest to their brilliance as lawyers and their unwavering commitment to the Rule of Law," Abbott said in a statement. "I look forward to their approval by the U.S. Senate and to their service on the 5th Circuit, where I know they will uphold the Constitution."