Graham said on NBC's "Meet the Press" that Trump should use this moment to "reset" the situation surrounding the Department of Justice's investigation into alleged collusion between the Trump campaign and Russian Federation.
There's no word yet on who will be TSU's new commencement speaker.
While many were supportive of the potential nomination, doubts remain among a substantial number of members who doubt he is the right man for the job.
He's been with the Federal Bureau of Investigation for more than 20 years, and is one of the Federal Bureau of Investigation officials who interviewed this week for the role of interim director. But Collins, like other Republicans, said the White House should be prepared to turn them over.
-U.S. District Judge Henry E. Hudson, a Bush appointee who struck down the centerpiece of the Obama administration's health care law in 2010. Lee talked about being the child of immigrants, and Green apparently gave them a preview of his statement Monday calling for President Trump's impeachment.
File- FBI Director James Comey testified before Congress to answer "important questions" about the Hillary Clinton email investigation on July 5, 2016.
After the news broke of Comey's ouster, Graham said he supported the move. "As you know, he was a Texas Supreme Court Justice, he was the Texas Attorney General, and to my mind, that makes him more than qualified for any law enforcement related position", said Ratcliffe. But GOP senators set term limits for leadership posts and his ends at the start of 2019.
As Senate majority whip, Cornyn holds the second highest ranking position in the U.S. Senate. Even fellow Republican senators, including Lindsey Graham of SC, might balk at a Cornyn pick.
Cornyn has in recent weeks become more of an outward defender of Trump.
"I have called repeatedly on the attorney general to appoint a special counsel to fully and fairly conduct the investigation", Cornyn said on the Senate floor in March 2016.
Cornyn, 65, is a popular senator who is liked on both sides of the aisle, but rarely veers from - and often dictates - the party line in the Senate.
It was not immediately clear who would replace Cornyn at the ceremony.
GOP Sen. Bob Corker of Tennessee said he would like to see the nominee pass with bipartisan support - a feat which could prove hard for Cornyn.
Compared with the other choices interviewed by Sessions and the Department of Justice over the weekend, Cornyn is well-known to his former senators.
John Cornyn's scheduled commencement address at a historically black university on Saturday has been canceled it sparked opposition and threats of protest from students.