Looks like it's going to pass very soon:
Obama Will Get His Trade Deal After All
"Left for dead earlier in the month, the fast-track bill clears a key Senate hurdle and could be completed by the end of the week."
"A trade package that appeared
all-but-dead earlier this month is now on the verge of passage after the Senate on Tuesday voted to advance a bill giving President Obama fast-track authority to negotiate international trade agreements.
On a vote of 60-37, the Senate moved to end debate on Trade Promotion Authority legislation, the core piece of the agenda that Obama has struggled to push through Congress. A final vote to send the bill to the presidents desk is expected on Wednesday.
The breakthrough occurred after House Democrats initially blocked the trade package by voting down a separate piece providing Trade Adjustment Assistance for displaced workers. But Obama and Republican leaders then went around Democrats by splitting off the aid billtraditionally a sweetener for Democratsand passing Trade Promotion Authority by itself. To retain the support of pro-trade Democrats, Speaker John Boehner and Senate Majority Leader Mitch McConnell promised to hold a second round of votes on Trade Adjustment Assistance once the fast-track bill passed, when most liberal Democrats would have little incentive to defeat it."
http://www.theatlantic.com/politics/archive/2015/06/obama-will-get-his-trade-deal-after-all/396272/