WASHINGTON -- Senators working toward immigration reform insisted on Tuesday that House Speaker John Boehner hasn't doomed the effort by saying a comprehensive approach will only get a vote if the majority of his conference supports it. But they said his comments also show that the upper chamber needs to win large support for its bipartisan immigration bill and compel the House to give it a closer look.

"No matter what he has said, there is going to be significant national pressure on the House to do something on immigration," Senate Majority Leader Harry Reid (D-Nev.