Other possible nominees are, according to the reports, acting FBI Director Andrew McCabe; Alice Fisher, formerly Justice Department criminal division chief; and Michael Garcia, a NY state appeals judge and former U.S. attorney in New York's Southern District.
Cornyn is one of the eight names being interviewed to potentially succeed Comey, who President Donald Trump fired May 4.
Cornyn, 65, is the Senate majority whip and formerly served as a Texas attorney general and state supreme court justice.
"I think that for Cornyn you've got to remember some people see him as a partisan figure because he's in leadership, but he has much more of a judicial manner", said Texas political consultant Matt Mackowiak.
But the Republican party's aim now is to get the GOP healthcare bill passed and Cornyn's absence could be detrimental as the senator has been in almost every meeting regarding replacing Obamacare.
Rebecca Treviño, who is graduating with a degree in social work, said she and a group of others from her social work classes chose to start the petition to raise awareness about Cornyn's stance on key issues.
"We can make a fast decision", President Trump said.
TSU did not immediately respond to a question about whether DeVos' reception at Bethune-Cookman influenced TSU's decision to cancel Cornyn's speech.
Donald Trump has issued an astonishing apparent threat to James Comey, implying recordings of the pair's conversations could be released if the Federal Bureau of Investigation director he fired "starts leaking to the press". Trump cited Comey's handling of the investigation into Hillary Clinton's emails as the reason for his dismissal, but others are anxious that the firing may have had something to do with the agency's investigation into possible collusion between Russian Federation and Trump's campaign, during the election.
The petition accused Cornyn, the No. 2 Republican in the Senate, of supporting "discriminatory policies and politicians", and argued that hosting him as a commencement speaker would contradict the university's values. Comey would also have an opportunity to go on the record and confirm or deny Trump's claim that the he told the president on three separate occasions he wasn't under investigation. "To me, it's like appointing a judge", Graham said.
Efforts to reach both of them were not successful Friday night. Texans elected Cornyn to the U.S. Senate in 2002 to fill the seat of retiring Senator Phil Gramm.
We reached out to Senator Cornyn's office about the interview. "But these are not normal circumstances". The odds look high that John Cornyn will continue to serve Texas in the Senate.