Multiple House Republican members and GOP leadership sources tell CNN that leaders are preparing a proposal to raise the debt ceiling temporarily while keeping the government shut down.

The sources tell CNN that House GOP leaders' plan is to formally discuss the idea with the GOP conference at a meeting Thursday morning.

Senior House Republican sources have been telling CNN since earlier this week the idea of raising the debt ceiling for four to six weeks is the most viable way out of the stalemate.

A House Democratic lawmaker told CNN on Wednesday evening that President Barack Obama held a private White House meeting. In it, he said he would likely agree to a short term debt ceiling deal if that's what Republicans would support in order to avoid default, the lawmaker said.

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