WASHINGTON (CNN) -- The Senate leaders agreed Friday to delay the cloture vote on a bipartisan immigration bill, after key senators involved in the negotiations of the compromise made the request.

Senate Majority Leader Harry Reid, D-Nevada, and Sen. Minority Leader Mitch McConnell, R-Kentucky, have agreed to move the vote from next Tuesday to next Wednesday

The Senate is attempting to reach an agreement on the particulars of the legislation that seeks to strengthen security at the borders, create a temporary worker program, and establish a path to citizenship for the millions of illegal immigrants that currently reside in the U.S.

Negotiations are expected over the weekend -- although no breakthrough seems likely until at least Tuesday.

On the Senate floor Tuesday, Sen. Arlen Specter, R-Pennsylvania, said senators from both parties have hammered out an outline for a bill and "have come to an agreement on what we have called, quote 'a grand bargain.'"

If a bipartisan compromise is not reached, it is anticipated that a GOP-led filibuster on the underlying Democratic bill and that bill would then be set aside ending the immigration debate for the foreseeable future.