Senate Republicans say Senate Republican Leader Mitch McConnell (Ky.) is willing to drop his demand to curb the growth of Social Security cost-of-living increases.

The demand from McConnell had thrown a wrench into talks Sunday on a “fiscal cliff” deal, as Senate Majority Leader Harry Reid (Nev.) and other Democrats quickly balked at the request, which they said they could not accept.

But a number of Senate Republicans said it was not a core demand of their conference, suggesting taking it out of a deal would not prevent a last-second agreement from being reached.

“We need to take CPI off the table,” said Sen. John McCain (R-Ariz.). “That is not part of the negotiations because we can’t win an argument that has Social Security for seniors versus taxes for the rich so we need to take it off the table.”