Second, Senate Majority Leader Harry ReidHarry Mason ReidAmendments fuel resentments within Senate GOP Donald Trump is delivering on his promises and voters are noticing Danny Tarkanian wins Nevada GOP congressional primary MORE (D-Nev.) said Tuesday that he thinks he sees progress in talks with Senate Minority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellSenate passes 6B defense bill Poll: Kim Jong Un has higher approval among Republicans than Pelosi The Hill's Morning Report — Sponsored by PhRMA — Outcry raises pressure on GOP for immigration fix MORE (R-Ky.) to give President Obama the authority to raise the debt ceiling on his own.

President Obama indicated yesterday that he supports the Reid-McConnell talks because they could be needed as a short-term answer to the debt-ceiling impasse. Gang of Six members themselves indicated that their plan may not be ready in time for Aug. 2.

The third reason the House could be marginalized is related to the first two. While the Senate appears to be making some headway on a bipartisan basis, only the House seems to like the House GOP's "cut, cap and balance" plan approved on Tuesday.

Given that the House plan does not appear likely to be taken up by the Senate, the House might be in a wait-and-see mode, and then could be forced to examine whatever spills out of the Senate.

House Budget Committee Chairman Paul RyanPaul Davis RyanTrump digs in amid uproar on zero tolerance policy Mark Sanford’s troubles did not begin with Trump NY Post blasts Trump, GOP over separating families at border MORE (R-Wis.) on Tuesday said the Gang of Six plan is promising, but outlined several potential problems with it.

While waiting on the Senate is unlikely to make House Republicans happy, it promises for a busy next couple of weeks. House Majority Leader Eric CantorEric Ivan CantorThe Hill's Morning Report — Sponsored by CVS Health — Trump’s love-hate relationship with the Senate Race for Republican Speaker rare chance to unify party for election Scalise allies upset over Ryan blindside on McCarthy endorsement MORE (R-Va.) warned Tuesday that the House could meet Saturdays and Sundays until an agreement is reached.

The House meets at 10 a.m. for speeches and noon for legislative work, and has a light day compared to Tuesday.

The House will take up a rule for H.R. 2553, a bill extending airport taxes until Sept. 16. These taxes, which help fund the Federal Aviation Administration, expire July 22.

This is yet another short-term extension of these taxes. Republicans and Democrats are split on air union rules in a bill that would extend the taxes for five years.

The House also takes up H.J.Res. 66, which would renew import restrictions in the Burmese Freedom and Democracy Act.

The Senate meets at 9:30 a.m., ostensibly to take up H.R. 205, the Military Construction, Veterans Affairs and Related Agencies Appropriations Act. But it's unclear whether the Senate will actually take up amendments to this bill.