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"So I am asking my Republican friends as we have another vote on this — I think it's going to be tomorrow morning — think of Delmita Turner of California and what this means for her," Boxer said.

Senate Republicans successfully blocked the measure from moving forward in the chamber on Tuesday. Both Republicans and Democrats want to extend the 3.4 percent interest rate on Stafford loans for another year but they disagree on the funding method. Democrats want to pay for the extension by closing a tax loophole on shareholders of S-corporations, while Republicans want to take money from a preventative fund in the Obama administration's healthcare reform law to pay for the bill. If Congress does not act, the rate is set to double on July 1. 

After the failure to move the bill forward on Tuesday, Democrats said they planned to bring the legislation up for a vote again.

As of Wednesday it was unclear how Congress would be able to extend the interest rate. Republicans haven't wavered in their opposition to the funding method in the Democrats' plan and, even if the bill passed the Senate, it would likely die in the GOP-controlled House of Representatives. The House recently passed its own bill to extend the interest rate with Republicans' preferred funding method.

Later on Wednesday, Sen. Marco RubioMarco Antonio RubioHillicon Valley: Trump's Russia moves demoralize his team | Congress drops effort to block ZTE deal | Rosenstein warns of foreign influence threat | AT&T's latest 5G plans On The Money: Trump 'ready' for tariffs on all 0B in Chinese goods | Trump digs in on Fed criticism | Lawmakers drop plans to challenge Trump ZTE deal Overnight Defense: White House 'not considering' Ukraine referendum | Pompeo hopeful on plans for Putin visit | Measure to block ZTE deal dropped from defense bill MORE (R-Fla.) suggested that the apparent standstill on the legislation is only temporary and a bill would be passed in a matter of weeks.

"Here's what else I guarantee you," Rubio said. "This is going to get solved. You mark my words, a few weeks from now they'll come up with a deal or a bill that will have enough votes to pass the House and Senate and this will get solved. But not before we score political points, right?"