The stimulus-sized package aimed at averting a nationwide tax increase is cruising toward passage in the Senate, as House Democrats determine whether and how much to tinker with it.

Senate Majority Leader Harry Reid said Tuesday that the chamber is trying to set up a final vote before the end of the day. Lawmakers signaled they would send the bill to the House intact after they voted 83-15 to advance it Monday evening.

But House Democrats still have serious concerns about the contents of the package negotiated between President Obama and Republican congressional leaders. House Democratic Leader Steny Hoyer would not rule out changes to the bill, saying Tuesday he wants the House to "reflect its view" on certain parts of the bill, namely the estate-tax provisions...