One of the amendments from Sen. Orrin HatchOrrin Grant HatchMcConnell names Senate GOP tax conferees Ryan pledges 'entitlement reform' in 2018 Utah governor calls Bannon a 'bigot' after attacks on Romney MORE (R-Utah) would ensure that TAA, which is designed to help American workers hurt by international trade, only resumes if the Congress and the president pass pending free-trade agreements with Colombia, Panama and South Korea.

Some Democrats are demanding a vote on TAA as a precondition for taking up those agreements.

The second amendment, from Sen. John McCainJohn Sidney McCainGOP strategist donates to Alabama Democrat Meghan McCain knocks Bannon: 'Who the hell are you' to criticize Romney? Dems demand Tillerson end State hiring freeze, consult with Congress MORE (R-Ariz.), would extend TAA through 2014 as part of the GSP bill.

The Senate is set to reconvene at 9:30 a.m. Wednesday, and vote on these amendments.

This story was updated on Wednesday at 3:07 p.m. to reflect that those votes occurred on Wednesday, not Thursday.