WASHINGTON — Facing a rebellion over his latest debt ceiling proposal, Speaker John A. Boehner has told House Republicans that he will bring legislation to a vote Wednesday that would raise the government’s borrowing authority with no strings attached.

“House Republican leaders told members this morning that it is clear the paid-for military COLA provision will not attract enough support, so we will be bringing up a ‘clean’ debt limit bill tomorrow,” a Republican aide said. “Boehner made clear the G.O.P. would provide the requisite number of Republican votes for the measure but that Democrats will be expected to carry the vote.”

On Monday night, Mr. Boehner laid out a plan to link the debt ceiling increase to legislation that would have reversed a cut to veteran retirement benefits. But conservative Republicans opposed the plan, and Republican leaders worried that Democrats would not go along, holding firm to President Obama's demand that no policy attachments come with a debt ceiling increase.