A spokesman for Speaker John Boehner says that next week Republicans controlling the House will advance a temporary government funding bill to keep the government open for two weeks after a March 4 deadline.
The measure will contain about $4 billion in spending cuts that are still being readied.
The development comes a day after Senate Majority Leader Harry Reid said that Democrats controlling the chamber will try to pass a measure extending funding the government for 30 days, frozen at last year's budget. Boehner flatly rejects that idea and insists on immediate cuts.
The daily tit for tat comes as a March 4 deadline looms. That's when a current stopgap measure expires, and unless another one is passed, non-essential government programs will temporarily close down.