A dispute between Senate Democrats and the White House over legislation that would allow Saudi Arabia to be held legally responsible for the Sept. 11, 2001, attacks deepened on Tuesday when Senate Minority Leader Harry Reid (D-Nev.) said he backed the bill despite objections from President Barack Obama.

Separately, top Senate Republicans were trying to untangle objections to the bill on their own side, as Sen. Lindsey Graham said he would block quick consideration of the measure until he got questions answered about revisions quietly made to the measure last week.

But the sharpest divisions are within the Democratic Party, whose top three senators are supporting the legislation that Obama warns could trigger continual lawsuits against the United States for similar accusations.

“I support it, and most everyone in the caucus supports it,” Reid told reporters Tuesday. The White House doesn’t “particularly like it, but that’s OK. … I think that we should move forward on this legislation, and I hope we can.”