Republicans might accept a “mini” deal with the Obama administration on raising the debt limit, Senator John Cornyn of Texas, a Republican leader, said yesterday on “Fox News Sunday.”

The idea may delay politically difficult decisions if it’s structured to postpone action on a larger package of spending cuts or revenue increases until after the 2012 election cycle, an analyst said.

The Senate shortened its July 4 recess and will remain in Washington to discuss a deal this week to raise the nation’s $14.3 trillion debt limit. The Obama administration is negotiating with Congress on reducing the long-term budget deficit as part of a plan to raise the limit before borrowing authority expires.

Cornyn said that while Republicans would prefer a long-term settlement, they would accept a shorter-term agreement if that’s all they could get done. The Treasury Department has projected that on Aug. 2 the U.S. will no longer be able to meet obligations if the legal debt ceiling isn’t raised.