Sen. Mike Rounds used his first speech from the Senate floor to slam overregulation.
Senate Republicans are moving the bill to the Senate floor months earlier than usual.
"Since when did the United States Senate outsource its decision making?" Cornyn asked.
Julian Hattem and Jordain Carney 06/02/15 10:53 AM EDT
The legal authority for the NSA's powers expired at midnight on Sunday.
Sen. Lee said the amendments would threaten the bill in the House.
Monday's maneuver is the latest in the battle over the Patriot Act.
The vice president's office announced Beau Biden's death on Saturday.
The presidential candidate threatened to block Obama from naming a Cuban ambassador.
The Senate leader said his amendments will ensure that the new NSA system works.
McConnell's move means the first procedural vote could come as early as Tuesday.