U.S. Senate Republican primary candidate Don Blankenship is interviewed by media outlets following the closing of the polls May 8, 2018 in Charleston, West Virginia.
PHOTO: Jeff Swensen/Getty Images
U.S. Senate Republican primary candidate Don Blankenship is interviewed by media outlets following the closing of the polls May 8, 2018 in Charleston, West Virginia.
Now playing
00:49
Blankenship projected to lose in West Virginia
MORGANTOWN, WV - MARCH 01:  Republican candidate for U.S. Senate Don Blankenship speaks at a town hall meeting at West Virginia University on March 1, 2018 in Morgantown, West Virginia. Blankenship is the former chief executive of the Massey Energy Company where an explosion in the Upper Big Branch coal mine killed 29 men in 2010.  Blankenship, a controversial candidate in central Appalachia coal country, served a one-year sentence for conspiracy to violate mine safety laws and has continued to blame the government for the accident despite investigators findings.  (Photo by Spencer Platt/Getty Images)
PHOTO: Spencer Platt/Getty Images North America/Getty Images
MORGANTOWN, WV - MARCH 01: Republican candidate for U.S. Senate Don Blankenship speaks at a town hall meeting at West Virginia University on March 1, 2018 in Morgantown, West Virginia. Blankenship is the former chief executive of the Massey Energy Company where an explosion in the Upper Big Branch coal mine killed 29 men in 2010. Blankenship, a controversial candidate in central Appalachia coal country, served a one-year sentence for conspiracy to violate mine safety laws and has continued to blame the government for the accident despite investigators findings. (Photo by Spencer Platt/Getty Images)
Now playing
02:06
Trump pushes GOP voters away from Blankenship
MORGANTOWN, WV - MARCH 01:  Republican candidate for U.S. Senate Don Blankenship speaks at a town hall meeting at West Virginia University on March 1, 2018 in Morgantown, West Virginia. Blankenship is the former chief executive of the Massey Energy Company where an explosion in the Upper Big Branch coal mine killed 29 men in 2010.  Blankenship, a controversial candidate in central Appalachia coal country, served a one-year sentence for conspiracy to violate mine safety laws and has continued to blame the government for the accident despite investigators findings.  (Photo by Spencer Platt/Getty Images)
PHOTO: Spencer Platt/Getty Images North America/Getty Images
MORGANTOWN, WV - MARCH 01: Republican candidate for U.S. Senate Don Blankenship speaks at a town hall meeting at West Virginia University on March 1, 2018 in Morgantown, West Virginia. Blankenship is the former chief executive of the Massey Energy Company where an explosion in the Upper Big Branch coal mine killed 29 men in 2010. Blankenship, a controversial candidate in central Appalachia coal country, served a one-year sentence for conspiracy to violate mine safety laws and has continued to blame the government for the accident despite investigators findings. (Photo by Spencer Platt/Getty Images)
Now playing
03:27
GOP fears this man could be Senate
PHOTO: Fox News
Now playing
01:51
GOP hopeful defends 'Chinaperson' remarks
mitch mcconnell
PHOTO: CNN
mitch mcconnell
Now playing
00:56
GOP candidate calls McConnell 'cocaine Mitch'
former massey energy ceo don blankenship sentenced mine pkg_00002819.jpg
PHOTO: WSAZ
former massey energy ceo don blankenship sentenced mine pkg_00002819.jpg
Now playing
01:25
Ex-Massey Energy CEO sentenced to a year in prison
west virginia don blankenship verdict massey energy presser bts _00002711.jpg
PHOTO: WCHS
west virginia don blankenship verdict massey energy presser bts _00002711.jpg
Now playing
00:58
Former Massey Energy CEO found guilty of conspiracy
(CNN) —  

Senate Republicans are openly agonizing about the possibility Don Blankenship will win the GOP primary for a US Senate seat in West Virginia on Tuesday and set up a general election against Sen. Joe Manchin that the Democratic incumbent might win.

“Let’s hope and pray that doesn’t happen,” said Sen. John Thune of South Dakota, the third-ranking GOP leader.

GOP concerns about the contentious candidate winning are so great they were discussed Monday at a private meeting of top Republican leaders in Majority Leader Mitch McConnell’s Capitol office, Thune said.

“We are starting to think through the various scenarios,” Thune said. “It would not be good.”

An administration official said the White House is becoming concerned that Blankenship could become “Roy Moore on steroids” if he wins the primary. The official said there is a worry that the other candidates in the race will split the establishment vote, giving Blankenship the opportunity to capture the nomination.

But Sen. John Cornyn of Texas, the second-ranking GOP leader, was asked about President Donald Trump’s decision to tweet his desire that West Virginia voters choose from the other candidates in the primary because they would have a better chance of unseating Manchin and flipping the seat to the GOP.

“That’s his choice,” Cornyn said of the President’s tweet. “I just hope they pick the best nominee so we can pick the seat up in November.”

RELATED: The ex-con who called McConnell ‘cocaine Mitch’ could actually become West Virginia’s GOP Senate nominee

Cornyn added that he didn’t think West Virginia voters were interested in his opinion or that of anyone else outside the state.

“I’m happy to let them make that decision,” Cornyn said.

Sen. Cory Gardner of Colorado, who chairs the National Republican Senatorial Committee, which oversees electing Republicans senators, agreed that leaders in Washington should let West Virginia voters decide.

“The last thing the people of West Virginia want is the people of Washington telling them what to do,” Gardner said.

Republicans hold a 51- to 49-seat advantage in the Senate going into a midterm election where Democrats must defend far more seats than Republicans.

Sen. Jeff Flake, an Arizona Republican, said that if Blankenship wins the primary Flake will support Manchin and donate money to him. Flake said GOP support for Moore, a failed Alabama Senate candidate, had caused broad problems for the party, especially with suburban female voters.

“When they saw the President and other officials – the RNC – backing someone like Roy Moore, too many people are saying, ‘That’s not my party,’ ” Flake said.

Marc Short, who directs legislative affairs for the White House, predicted Blankenship would not win.

“It would obviously create a big challenge but that’s not what we expect is going to happen,” Short said.

Manchin declined to say if he would prefer to face Blankenship, saying Blankenship would be hard to beat.

“He’s working it hard. He’s putting his money where his mouth is,” Manchin told CNN.

Asked if he believed Blankenship would be a tough opponent, Manchin said, “Anybody would be tough. You either run scared or unopposed.”

CNN’s Jim Acosta contributed to this report.