Senate Majority Leader Harry Reid has announced the Senate will delay final action on the Immigration Reform Bill.

Senate leaders agreed Monday that they would wait until June to take final action on a bipartisan plan to give millions of unlawful immigrants legal status.

The measure, which also tightens border security and workplace enforcement measures, unites a group of influential liberals, centrists and conservatives and has White House backing, but it has drawn criticism from across the political spectrum. In a nod to that opposition, Senate leaders won’t seek to complete it before a hoped-for Memorial Day deadline.

“It would be to the best interests of the Senate … that we not try to finish this bill this week,” said Senate Majority Leader Harry Reid, D-Nev., as the chamber began debate on the volatile issue. “I think we could, but I’m afraid the conclusion wouldn’t be anything that anyone wanted.”

The bipartisan compromise cleared its first hurdle Monday with a bipartisan Senate vote to begin debate on a separate immigration measure. Still, it faces significant obstacles as lawmakers seek dozens of modifications to its key elements.

Republicans want to make the bill tougher on the nation’s estimated 12 million illegal immigrants. Democrats want to change a new temporary worker program and reorder priorities in a merit-based system for future immigration that weights employability over family ties.

The unlikely coalition that brokered the deal, led by Sens. Edward M. Kennedy, D-Mass., and Jon Kyl, R-Ariz., is plotting to protect the agreement from “deal-breaker” changes that would sap its support. The group will hold daily meetings starting Tuesday to determine whether proposed revisions would sink what they are calling their “grand bargain.”

“We have to try our very best to work together to get something that will actually pass,” Kyl said.

Among the first changes to be debated will be a proposal by Sen. Jeff Bingaman, D-N.M., to shrink the temporary worker program created by the compromise plan. Some lawmakers in both parties consider the initiative, which would provide at least 400,000 guest worker visas annually, too large.

Others charge it’s impractical and unfair to immigrants, because it would allow them to stay only temporarily in the U.S. without guaranteeing them a chance to gain legal status.

“We must not create a law that guarantees a permanent underclass, people who are here to work in low-wage, low-skilled jobs but do not have the chance to put down roots or benefit from the opportunities of American citizenship,” Reid said.

I guess they heard an earful from their constituents on both sides of the issue and are now going to try to work out the major objections.

It remains to be seen if an immigration reform bill will pass in this Congress or any other in the near future.