The Senate approved a bill Tuesday to allow victims and families of the 9/11 attacks to sue Saudi Arabia for its alleged involvement in the terrorist strikes. The bill, which the White House opposes ... had stalled for months. It now heads to the House. In the end, the bill's authors - John Cornyn of Texas, the second ranking Senate Republican, and Chuck Schumer of New York, the third-ranking Senate Democrat - were able to pass the bill on a voice vote, a rare feat in the divided chamber. White House press secretary Josh Earnest renewed the threat that President Barack Obama will veto the bill. The White House and State Department say the bill could have dramatic ramifications. "This legislation would change long standing international law regarding sovereign immunity. The President ... continues to harbor serious concerns that this legislation would make the United States vulnerable in other court systems around the world," Earnest said. The bill would prevent Saudi Arabia and other countries alleged to have terrorist ties from invoking their sovereign immunity in federal court. Saudi Arabia has long denied any role in the 9/11 attacks, but victims' families have repeatedly sought to bring the matter to court, only to be rebuffed after the country has invoked legal immunity allowed under current law. In March, Saudi Foreign Minister Adel al-Jubeir warned lawmakers that it would sell $750 billion in U.S. assets ... should the bill become law.