The measure won the support of 57 senators but fell three votes short of the total needed to defeat a filibuster.
An informal poll of political experts and Senate staff members suggested that Mr. Estrada has the support of 12 senators.
Organized labor and the Democratic leadership are determined to preserve the notice provision, but need the support of three more senators to do so.
It has picked up momentum in recent days, notably through the support of 12 Democratic senators.
The act received the support of more than 165 representatives and 36 senators, including the majority of our New York Congressional delegation.
It won support of 86 senators on Wednesday in voting on a motion to proceed with debate.
On this matter I have the support of at least 15 senators.
The bill has the support of more than 60 senators, enough to defeat a filibuster.
He has enlisted the support of at least 17 other senators and vowed to talk the bill to death even though it includes provisions many of them favor.
Creators of the proposal said they had the support of as many as 70 senators.