Yes. The article you found is an article about an article on The Hill. The article on The Hill does not mention the DREAM Act as far as I remember. The reason the Republicans are complaining about Senator Reid's plan of voting the Defense Authorization bill is because after the election, some Democrats and Republicans might break from the "nay" group to vote for the bill if their Democratic colleagues are able to convince them.
Anyway, the point is that the DREAM Act will be voted as an amendment on Tuesday. Its fate will be determined on that day. So, gaining 60 votes for the DREAM Act by Tuesday is VERY, VERY, VERY crucial.
For now, the House really doesn't matter. It is likely that the House will take the bill after the Senate passes it. In fact, the Representatives will be busy campaigning for their lives. And, they are busy right now. It will happen after the election as well. Like the Senate, the election will determine the fate of many Democratic Representatives. They can be easily convinced to vote for the Defense Authorization bill after the election.