The parade of amendments expected to be offered to the 844-page bill — all of which are due by 5 p.m. on Tuesday — could number dozens or more. The amendments offer a preview of the floor fight over the most sweeping changes to immigration laws in more than two decades.

“There’s so many problems with the legislation that it’s hard to know where to start,” Sen. Jeff Sessions (R-Ala.), a leading foe of the bill who plans to introduce multiple amendments in committee, told reporters on a conference call last week.

The most controversial amendment — which will come from Democrats — will likely be one to allow U.S. citizens to sponsor a same-sex partner for a green card. Most Judiciary Democrats support the measure, but Republicans on and off the committee have warned that including it could kill the bill altogether.

The committee’s chairman, Sen. Patrick Leahy (D-Vt.), is expected to offer the amendment — known as the Uniting American Families Act — but neither he nor his aides have confirmed that he will.