(Cliff Owen/AP)

That means Congress will act on the measure during its final week in town before departing for a weeklong recess. The measure currently funding the government – which was signed into law by President Obama in April after an extended battle that brought Washington to the verge of a shutdown -- is set to expire at the end of the fiscal year on Sep. 30.

“There are discussions ongoing, and the anticipation is that we will take up the [bill] the week of the 19th,” Cantor said at his weekly pen-and-pad briefing with reporters. “And again, my expectations are – there’s been no agreement – but my expectations are that that [measure] will take us sometime through late fall.”

In contrast to the government funding battle that played out over the spring, during which the political parties butted heads over how — and how deeply — to cut federal spending, neither side expects a protracted fight this time.

That’s because leaders of both parties have backed the $1.043 trillion figure detailed in last month’s debt-ceiling legislation. While some rank-and-file members are likely to call for greater cuts, the debt-limit deal essentially served to head off the kind of major battle that earlier threatened to shut down the government.

That doesn’t mean there won’t be partisan stalemates this month, however. The Federal Aviation Authority and ground transportation funding bills are set to expire over the coming weeks, and both parties remain at an impasse on how to move forward on them; there are also three long-pending trade deals that have yet to be approved by Congress and the White House.