The Republican National Committee cut fundraising ties with Moore earlier this month, and Republicans in Congress, including Sen.
If Moore wins the December 12 special election, for the old seat of Attorney General Jeff Sessions, Senate Majority Leader Mitch McConnell, R-Ky., has said that the Ethics Committee will investigate the allegations and the Alabamian could face an expulsion vote.
"It's going to be a distraction for us and for our agenda", he said. "He is the candidate".
"Did you know that before 1992, when a lot of this was going on, that Judge Moore was a Democrat?"
Graham does not see a Moore victory as a win for the Republican Party.
Moore, who is now 70, was recently accused by several women that while in his 30s he molested or harassed teenage girls as young as 14, according to the Daily Mail.
Multiple other women between the ages of 16 and 22 have since come forward and accused him of unwanted sexual contact. He has said he never dated underage women and never engaged in sexual misconduct. All the Moore memorabilia, fundraising, and messaging could be quickly repurposed for a governor's race.
In the wake of the allegations, Republican leaders scrambled to find a way to block Mr Moore as a candidate. If you're President Donald Trump, the answer seems to be without actually naming him and making clear the alternative would be far, far worse.
"The last thing we need in Alabama and the U.S. Senate is a Schumer/Pelosi puppet who is WEAK on Crime, WEAK on the Border, Bad for our Military and our great Vets, Bad for our 2nd Amendment, AND WANTS TO RAISES TAXES TO THE SKY", Trump tweeted.
Representative Nancy Pelosi and Senator Chuck Schumer are the Democratic leaders of the House of Representatives and Senate, respectively. "If you lose, you give the senate seat to a Democrat".
"If Moore wins, there will immediately be an ethics investigation and he will be working under a cloud".
In an interview on "Fox News Sunday", Thune said Moore's election would put the GOP agenda in jeopardy.
Trump said, "Roy Moore denies it, that's all I can say".