Moments later, the Senate approved an amended version by voice vote, a move that should allow the House to vote to conference with the Senate on the bill Thursday.

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The language in the Senate bill related to new import sanctions against Iran and rebels in the Congo, which affect tariffs and government revenue. The House and Senate agreed to tweak that language in a way that avoids the hurdle, although few details were available beyond that as of Wednesday evening.

The House has tried to vote to conference with the Senate on the NDAA all week, but now should be in a position to do so Thursday. The House-passed NDAA is H.R. 4310.

The Senate also agreed to name conferees to the bill, something the House might do as early as Thursday. The Senate conferees are:

Carl LevinCarl LevinTrump's crush on foreign autocrats threatens democracy at home OPINION: Congress must press forward with its Russia investigation Democrats and Republicans share blame in rewriting the role of the Senate MORE (D-Mich.), Joseph Lieberman (I-Conn.), Jack ReedJack ReedDems push for more action on power grid cybersecurity 3 tips for President Trump before he outsources his duties to Mattis McCain threatens to block Trump's deputy Defense nominee MORE (D-R.I.), Daniel Akaka (D-Hawaii), Ben Nelson (D-Neb.), Jim Webb (D-Va.), Claire McCaskillClaire McCaskillMcCaskill attended reception at Russian ambassador's residence in 2015 Senators question need for HHS cyber office Overnight Cybersecurity: Obama DHS chief defends Russian hack response | Trump huddles on grid security | Lawmakers warned about cyber threat to election systems MORE (D-Mo.), Kirsten GillibrandKirsten GillibrandBipartisan senators seek to boost expertise in military justice system Mattis gaining power in Trump’s Cabinet What do Democrats stand for? MORE (D-N.Y.), Mark UdallMark UdallDemocratic primary could upend bid for Colorado seat Picking 2018 candidates pits McConnell vs. GOP groups Gorsuch's critics, running out of arguments, falsely scream 'sexist' MORE (D-Colo.), Richard BlumenthalRichard BlumenthalOnly Congress can enable drone technology to reach its full potential Overnight Regulation: Labor groups fear rollback of Obama worker protection rule | Trump regs czar advances in Senate | New FCC enforcement chief Dems urge Sessions to reject AT&T-Time Warner merger MORE (D-Conn.), Kay HaganKay HaganLinking repatriation to job creation Former Sen. Kay Hagan in ICU after being rushed to hospital GOP senator floats retiring over gridlock MORE (D-N.C.), Mark BegichMark BegichPerez creates advisory team for DNC transition The future of the Arctic 2016’s battle for the Senate: A shifting map MORE (D-Alaska), Joe ManchinJoe ManchinThis week: Senate races toward ObamaCare repeal vote Senate Republicans reluctant to rush vote on healthcare bill Manchin: Senate can do 'an awful lot' to improve healthcare bill MORE (D-W.Va.), Jeanne Shaheen Jeanne ShaheenDems push for more action on power grid cybersecurity Senate overwhelmingly passes Russia sanctions deal Russia sanctions deal clears key Senate hurdle MORE (D-N.H.), John McCainJohn McCainCongress needs to support the COINS Act GOP’s message on ObamaCare is us versus them Frustrated Dems say Obama botched Russia response MORE (R-Ariz.), Roger WickerRoger WickerOvernight Defense: GOP chairman moves ahead with 0B defense bill | Lawmakers eye 355 ship navy | Senate panel seeks answers on shoot down of Syrian jet The Hill's Whip List: Senate ObamaCare repeal bill Lawmakers unveil bill to set 355-ship Navy MORE (R-Miss.), Scott Brown (R-Mass.), James InhofeJames InhofeMcCain strikes back as Trump’s chief critic Turbulence for Trump on air traffic control Parliamentarian threatens deadly blow to GOP healthcare bill MORE (R-Okla.), Saxby ChamblissSaxby ChamblissOPINION: Left-wing politics will be the demise of the Democratic Party GOP hopefuls crowd Georgia special race Democrats go for broke in race for Tom Price's seat MORE (R-Ga.), Susan CollinsSusan CollinsJohnson becomes fourth GOP senator unwilling to proceed on healthcare bill Five takeaways from the CBO score on Senate ObamaCare bill Overnight Healthcare: CBO score imperils ObamaCare repeal | Breaking down the numbers | WH hits back over score | Trump phones holdouts | Dems plan floor protest MORE (R-Maine), Jeff SessionsJeff SessionsMcCaskill attended reception at Russian ambassador's residence in 2015 Sessions: Supreme Court travel ban order a victory for separation of powers Russia recalling ambassador at center of Trump campaign controversy: report MORE (R-Ala.), Rob PortmanRob PortmanFive takeaways from the CBO score on Senate ObamaCare bill McConnell allies confident in healthcare win GOP’s message on ObamaCare is us versus them MORE (R-Ohio), Kelly AyotteKelly AyotteOPINION: Democracy will send ISIS to the same grave as communism Kelly Ayotte joins defense contractor's board of directors Week ahead: Comey firing dominates Washington MORE (R-N.H.), Lindsey GrahamLindsey GrahamFive takeaways from the CBO score on Senate ObamaCare bill New CBO analysis imperils GOP ObamaCare repeal Senate panel questions Lynch on alleged FBI interference MORE (R-S.C.), John CornynJohn CornynSenate adds penalty for going uninsured to healthcare bill The Hill's 12:30 Report Cornyn: GOP won't delay ObamaCare repeal vote MORE (R-Texas) and David VitterDavid VitterOvernight Energy: Trump set to propose sharp cuts to EPA, energy spending Former La. official tapped as lead offshore drilling regulator Former senator who crafted chemicals law to lobby for chemicals industry MORE (R-La.).

— Jeremy Herb and Ramsey Cox contributed