“We say we’re for budget discipline, but we just bust the caps by calling it emergency spending ... but this isn’t emergency spending,” Vitter said on the floor. “We have to stop violating this rule if we’re going to get serious about the deficit and debt.”

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The Republicans who voted “yes” were Sens. John McCainJohn Sidney McCainTrump plan to claw back billion in spending in peril McCain calls on Trump to rescind family separation policy: It's 'an affront to the decency of the American people' Senate passes 6B defense bill MORE (Ariz.), Lindsey GrahamLindsey Olin GrahamTrump digs in amid uproar on zero tolerance policy Senate passes 6B defense bill Justice IG says report doesn’t assess ‘credibility’ of Russian probe MORE (S.C.), Marco RubioMarco Antonio RubioHillicon Valley: Supreme Court takes up Apple case | Senate votes to block ZTE deal | Officials testify on Clinton probe report | Russia's threat to undersea cables | Trump tells Pentagon to create 'space force' | FCC begins T-Mobile, Sprint deal review Feehery: Betting on Trump Senate votes to block Trump's ZTE deal MORE (Fla.), Jeff FlakeJeffrey (Jeff) Lane FlakeSenate chaplain offers prayer 'as children are being separated from their parents' Romney backs Laura Bush on border: 'We need a more compassionate answer' Mark Sanford’s troubles did not begin with Trump MORE (Ariz.) — the four authors of the legislation — and Sens. Bob CorkerRobert (Bob) Phillips CorkerSenate chaplain offers prayer 'as children are being separated from their parents' Senate passes 6B defense bill This week: House GOP caught in immigration limbo MORE (Tenn.), Kelly AyotteKelly Ann AyotteErnst, Fischer to square off for leadership post The Hill's Morning Report: Koch Network re-evaluating midterm strategy amid frustrations with GOP Audit finds US Defense Department wasted hundreds of millions of taxpayer dollars MORE (N.H.), Jeff Chiesa (N.J.), Susan CollinsSusan Margaret CollinsTrump plan to claw back billion in spending in peril Romney backs Laura Bush on border: 'We need a more compassionate answer' Amnesty International rips family separation policy: 'This is nothing short of torture' MORE (Maine), Orrin HatchOrrin Grant HatchLive coverage: FBI chief, Justice IG testify on critical report On The Money: Trump imposes B in tariffs on China | China blasts 'fickle' Trump, promises payback | Trump to name consumer bureau director next week Trump announces tariffs on billion in Chinese goods MORE (Utah), Dean HellerDean Arthur Heller20 weeks out from midterms, Dems and GOP brace for surprises Trump to attend fundraiser for Heller Dems seek to seize on data privacy as midterm issue MORE (Nev.), Mark KirkMark Steven KirkThis week: Trump heads to Capitol Hill Trump attending Senate GOP lunch Tuesday High stakes as Trump heads to Hill MORE (Ill.), John HoevenJohn Henry HoevenGOP senators want NAFTA deal from Trump by Labor Day Senate GOP urges Trump administration to work closely with Congress on NAFTA GOP lawmakers want Trump to stop bashing Congress MORE (N.D.), Lisa MurkowskiLisa Ann MurkowskiTrump plan to claw back billion in spending in peril McCain calls on Trump to rescind family separation policy: It's 'an affront to the decency of the American people' GOP senator calls on Trump to end 'cruel' family separation policy MORE (Alaska) and Lamar AlexanderAndrew (Lamar) Lamar AlexanderIBM-led coalition pushes senators for action on better tech skills training Dems seek to leverage ObamaCare fight for midterms GOP senator: DOJ's ObamaCare argument 'as far-fetched as any I've ever heard' MORE (Tenn.).

The Senate is expected to pass the Border Security, Economic Opportunity and Immigration Modernization Act by a bipartisan vote at the end of the week.

The bipartisan group of eight senators, known as the Gang of Eight, introduced S. 744, which would create a pathway to citizenship for illegal immigrants already in the country, toughen border security, create a guest-worker program and boost high-skilled immigration.

Later Wednesday, the Senate will also vote on the “border surge” amendment from Sens. Bob Corker (R-Tenn.) and John Hoeven (R-N.D.). Their amendment adds more than $30 billion to the price tag of the bill, making it $46 billion total over 10 years. The amendment requires the hiring of 20,000 more border patrol agents, the completion of 700 miles of Southern border fencing and the purchase of $4 billion of new border security technology before immigrants would be able to apply for a green card.

The Congressional Budget Office (CBO) has said in the first 10 years, the bill will generate $197 billion, and in the decade after that nearly another $700 billion, but Republicans critics of the measure say those gains are to the Social Security Trust Fund and shouldn’t be used to pay for other projects because the money will have to be returned to the trust fund at some point.

Sen. Jeff SessionsJefferson (Jeff) Beauregard SessionsSessions responds to Nazi comparisons: 'They were keeping the Jews from leaving' Laura Ingraham: Migrant child detention centers 'essentially summer camps' Senate chaplain offers prayer 'as children are being separated from their parents' MORE (R-Ala.) said supporters of the bill are “double counting” the funds and that’s why the country is in such deep debt.

“Let’s stay with the budget,” Sessions said Wednesday. “Let’s require the bill’s sponsors to do what they’re suppose to do and should be able to do and that’s to produce a bill that pays for its costs.”

The Senate will also vote Wednesday on whether to end debate on the Senate Judiciary Committee's substitute amendment to S. 744, setting up final passage for Thursday night or Friday morning.