Several Senate Republicans on Monday brushed off new criticism being aimed at Labor Secretary Alexander Acosta Alex Alexander AcostaFederal litigator files complaint alleging Labor secretary abused his authority Appeals court to review legality of Epstein plea deal Appeals court finds prosecutors' secret plea agreement with Epstein didn't break law MORE over his involvement in a 2008 plea deal with billionaire financier Jeffrey Epstein.

Acosta is facing intense scrutiny, including calls for him to resign, after federal prosecutors in New York unsealed new sex trafficking charges against Epstein on Monday, including alleging abuse of dozens of female minors.

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But Senate Republicans stopped short of criticizing Acosta, much less echoing calls for him to resign, signaling that they won't publicly pressure the Labor chief to step down or for President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE to oust him.

Instead, GOP senators noted that the 2008 plea deal was vetted as part of Acosta's 2017 hearing for his Labor secretary nomination. Under the deal, Epstein avoided a life sentence and instead spent 13 months in county jail.

Sen. Lamar Alexander Andrew (Lamar) Lamar AlexanderGraham: GOP has votes to confirm Trump's Supreme Court nominee before the election The Hill's Morning Report - Sponsored by Facebook - Washington on edge amid SCOTUS vacancy This week: Supreme Court fight over Ginsburg's seat upends Congress's agenda MORE (R-Tenn.), the chairman of the Health, Education, Labor and Pensions (HELP) Committee, told reporters that they had "looked into that thoroughly."

"We found that the plea agreement that Secretary Acosta agreed to when he was U.S. attorney was approved by the Bush Justice Department, it was defended by the Obama Justice Department, and then by the Trump Justice Department," Alexander told reporters.

Pressed if he thought the plea deal was a bad idea, Alexander added: "You have three different presidents’ Justice Departments saying that the plea agreement was consistent with Department of Justice policy."

Asked if Acosta should resign over the Epstein scandal, Finance Committee Chairman Chuck Grassley Charles (Chuck) Ernest GrassleyGOP lawmakers distance themselves from Trump comments on transfer of power The Hill's 12:30 Report: Ginsburg lies in repose Top GOP senators say Hunter Biden's work 'cast a shadow' over Obama Ukraine policy MORE (R-Iowa) noted that oversight of the plea deal and Acosta's role wasn't within his committee's jurisdiction.

"This was up about three months ago, and then all of the sudden it died down, so I don't know how big of a deal it is," Grassley said before ditching reporters by cutting into the Senate kitchens.

Grassley, asked again later Monday evening about potential fallout for Acosta, added that the Justice Department's Office of Professional Responsibility had opened up an investigation into the plea deal and "we ought to wait and see what they come up with."

Sen. Roy Blunt Roy Dean BluntSenate to push funding bill vote up against shutdown deadline Social media platforms put muscle into National Voter Registration Day Senate GOP faces pivotal moment on pick for Supreme Court MORE (Mo.), a member of GOP leadership, demurred when asked if Acosta should resign, suggesting he was satisfied with the Senate's previous review of the plea deal.

"You know I've looked at that, it was early in the application of the new protections for parties that were victims, and it's my view that the state prosecutors were appropriate prosecutors to deal with that but we'll see. If there's more that comes out, I'll be glad to look at it," Blunt said.

"At this point, I think it's been looked at repeatedly, and I think everybody has reached the same conclusion," Blunt added.

Acosta was confirmed in a 60-38 vote for the Labor Department post, including winning the support of nine Democratic senators. He's defended the 2008 plea deal, which took place when he was the U.S. attorney for the southern district of Florida, arguing that it ensured Epstein serve jail time, register as a sex offender and pay damages to victims.

"At the end of day, Mr. Epstein went to jail. Epstein was incarcerated. He registered as a sex offender,” Acosta told members of a House Appropriations subcommittee last year.

But the plea deal is under fresh scrutiny in the wake of Monday's indictment, sparking new questions about Acosta's future in the Trump administration, where multiple Cabinet officials have been ousted amid scandal.

Former Rep. Jason Chaffetz Jason ChaffetzThe myth of the conservative bestseller Elijah Cummings, Democratic chairman and powerful Trump critic, dies at 68 House Oversight panel demands DeVos turn over personal email records MORE (R-Utah) said he would be "surprised" if Trump did not fire the Labor secretary.

Sen. Tim Kaine Timothy (Tim) Michael KaineHillicon Valley: Subpoenas for Facebook, Google and Twitter on the cards | Wray rebuffs mail-in voting conspiracies | Reps. raise mass surveillance concerns Democrats call for declassifying election threats after briefing by Trump officials Buttigieg stands in as Pence for Harris's debate practice MORE (D-Va.), a member of the HELP Committee who previously asked Acosta about the plea deal, said in a tweet on Monday that the Trump official "must go."

Other GOP senators indicated as they returned to Washington on Monday after the weeklong July 4 recess that they hadn't heard about the new indictments against Epstein, but appeared skeptical that they offered new information on the plea deal with Acosta.

Sen. Shelley Moore Capito Shelley Wellons Moore CapitoCongress must finish work on popular conservation bill before time runs out Second GOP senator to quarantine after exposure to coronavirus GOP senator to quarantine after coronavirus exposure MORE (W.Va.), a member of GOP leadership, said Monday that she talked to Acosta "several months ago about this and so I'm satisfied."

Asked about the new charges against Epstein, Capito should she hadn't seen them, but "at this point I'm satisfied."

Sen. John Thune John Randolph ThuneSenate passes resolution reaffirming commitment to peaceful transition of power Susan Collins faces political land mine with Supreme Court fight Abortion stirs GOP tensions in Supreme Court fight MORE (S.D.), the No. 2 Senate Republican, initially declined to comment until he found out more information, before adding that "all that stuff I think was addressed at the time, so unless there's new information."

Asked if Acosta should resign after she stopped to take a photo of an out-of-order clock near the Senate floor, Sen. Deb Fischer Debra (Deb) Strobel FischerHillicon Valley: Election officials prepare for new Russian interference battle | 'Markeyverse' of online fans helps take down a Kennedy | GOP senators unveil bill to update tech liability protections Google, Apple, eBay to meet virtually with lawmakers for tech group's annual fly-in Congress botched the CFPB's leadership — here's how to fix it MORE (Neb.), a member of GOP leadership, sidestepped.

"I don't know. Why do you people ask this stuff?" she asked. "Don't you realize that we're working on tough legislation."