Senate to vote on 9/11 veto override Wednesday
© Greg Nash

The Senate is moving forward with a pledge by leadership to try to override President Obama's veto of legislation that would allow families of 9/11 victims to sue Saudi Arabia in court.

Senate Majority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellSanders hits Feinstein over Kavanaugh allegations: Now it’s clear why she did nothing for months On The Money: Senate approves 4B spending bill | China imposes new tariffs on billion in US goods | Ross downplays new tariffs: 'Nobody's going to actually notice' McConnell tamps down any talk of Kavanaugh withdrawal MORE (R-Ky.) set the vote on overriding the veto, along with two hours of debate, for Wednesday.

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The showdown could end with lawmakers nixing the president's veto for the first time in his administration.

Obama followed through on a pledge to veto the bill, known as the Justice Against Sponsors of Terrorism Act (JASTA), on Friday. The White House argues the legislation would undermine "sovereign immunity" and the U.S.-Saudi relationship, as well as open up U.S. citizens to retaliatory measures.

The legislation passed both the House and Senate unanimously earlier this year, pitting Obama against congressional Democrats. Democratic presidential nominee Hillary ClintonHillary Diane Rodham ClintonHillary Clinton: FBI investigation into Kavanaugh could be done quickly Hillary Clinton urges Americans to 'check and reject' Trump's 'authoritarian tendencies' by voting in midterms EXCLUSIVE: Trump says exposing ‘corrupt’ FBI probe could be ‘crowning achievement’ of presidency MORE and Donald TrumpDonald John TrumpTrump: I hope voters pay attention to Dem tactics amid Kavanaugh fight South Korea leader: North Korea agrees to take steps toward denuclearization Graham calls handling of Kavanaugh allegations 'a drive-by shooting' MORE, the GOP nominee, both support the bill.

A GOP leadership aide said the House will likely also vote to override the veto before the chamber adjourns this week.

Senate leadership quickly voiced confidence after the veto that they would have the two-thirds supermajority necessary to override it. If they succeed, the House must also vote to reject the veto.

New York Sen. Charles Schumer, expected to be the next Democratic leader, joined Republicans Friday in criticizing Obama's move.

“This is a disappointing decision that will be swiftly and soundly overturned in Congress," Schumer said in a statement. "I believe both parties will come together next week to make JASTA the law of the land."

Sen. John Cornyn (R-Texas) — who spearheaded the bill along with Schumer — said the veto and the president's "refusal to listen to the families of the victims taken from us on September 11th" is "disappointing."

“I look forward to the opportunity for Congress to override the President’s veto, provide these families with the chance to seek the justice they deserve, and send a clear message that we will not tolerate those who finance terrorism in the United States," the Senate's No. 2 Republican said in a statement.

—Cristina Marcos contributed.