More than 86% of workers were in favor of the deal with the shipping giant.
The agreement covering more than 300,000 UPS workers still needs to be voted on by members.
The two sides have until the end of July to reach a deal and avoid a historic work stoppage.
The feisty internet poster and freshman U.S. senator wants an MMA match with Teamsters General President Sean O'Brien.
A strike could have far-reaching implications for workers, and for the overall economy.
The 84 drivers and dispatchers work for one of Amazon’s contractors, but Amazon said the firm is already in the process of losing its contract.
“We set out to show that our generation can make substantial change in this world," an 18-year-old employee said.
The Pulaski Skyway now becomes another dead end in the decadeslong mystery that has stretched from a Michigan horse farm to the East Coast.
A judge found that ready-mix concrete distributor Cemex committed “extraordinary violations” of the law in trying to defeat a Teamsters campaign.
Employees said they didn’t give the shipping giant permission to divert their pay to the United Way.