Republicans have expressed concern over the treaty, saying they don’t want international treaties writing U.S. law. But advocates for the treaty have said it’s based on the American Disabilities Act, granting people with disabilities equal rights, meaning U.S. law already follows the treaty.

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Democrats have indicated  they’d be open to amendments to the treaty, which would require countries that adopt it to equalize access for people with disabilities.

Reid also said the Senate would proceed to S.676, a bill to amend the Act of June 18, 1934, to reaffirm the authority of the secretary of the Interior to take land into trust for Indian tribes, sometimes called the “Carcieri Fix,” on Wednesday.

Reid said if cloture is not invoked on the motion to proceed to the "Carcieri Fix" bill Wednesday, he’d continue to work with Senate Armed Services Committee Chairman Carl LevinCarl LevinA lesson on abuse of power by Obama and his Senate allies President Trump, listen to candidate Trump and keep Volcker Rule Republicans can learn from John McCain’s heroism MORE (D-Mich.) and ranking member Sen. John McCainJohn Sidney McCainTrump's dangerous Guantánamo fixation will fuel fire for terrorists Tech beefs up lobbying amid Russia scrutiny Ad encourages GOP senator to vote 'no' on tax bill MORE (R-Ariz.) on an agreement to move forward on the defense authorization bill, S. 3254.

Sen. Rand PaulRandal (Rand) Howard PaulCongress must end American support for Saudi war in Yemen Black men get longer prison sentences than white men for same crimes: study Sarah Palin on sexual harassment: 'People know I'm probably packing' so they 'don't mess with me' MORE (R-Ky.) is filibustering the defense bill, which would set defense policy and authorize more than $600 billion in Pentagon spending, until he gets a vote on his amendment limiting indefinite detention.