(CNN) - Quick passage of a bill to provide back-pay to furloughed federal workers appeared in doubt on Monday when the No. 2 Senate Republican said it’s not time to address that issue right now.

“I think it’s really premature to be dealing with that until we resolve the underlying problem,” said Sen. John Cornyn of Texas. “We’ve offered a number of bills to try to alleviate some of the hardship and they’ve been swatted down out of hand.”

Cornyn said he didn’t expect Senate Majority Leader Harry Reid to bring it to the floor because of GOP objections.

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