Several House Republicans have warned that the Senate's bill will not pass the House.
If House negotiations do break down it is unclear what would happen next. At least one Republican in the group has threatened to abandon the talks and introduce his own bill. Meanwhile, House Judiciary Committee Chairman has said he might advance narrow, individual bills that Democrats say are an inadequate substitute for comprehensive changes to U.S. law.
IMPORTANCE OF BIPARTISANSHIP
Senate passage is by no means assured.
Senator Landrieu, who chairs the Senate Small Business Committee, said she is looking for better visa provisions to help small businesses hire foreigners. In a hallway interview with Reuters she also said she is inclined to support comprehensive immigration reform, but that it depends on what further changes are made to the bill.
"At some point, you've got to close the deal but we're not anywhere near closing that deal. We've got to go through a process on the floor," Landrieu said.
Another Democrat who is uncertain about the bill, Senator Jon Tester of Montana, told reporters that he will weigh several factors, including the bill's provisions for "securing the border; English (language requirements) are part of the equation; whether the path to citizenship is realistic and not a gift of amnesty."
Even with a strong, bipartisan vote for passage in the Senate next month, Republicans who control House say they will still want to chart their own course on immigration.
"When did they (senators) get elected to the House? Are they here? I missed when they were sworn into the House of Representatives," said the Puerto Rican-born Labrador sarcastically.
(Additional reporting by Rachelle Younglai, Caren Bohan and Thomas Ferraro; Editing by Fred Barbash and Cynthia Osterman)