But this tight deadline is forcing some discussion of how best to move the resolution quickly through the Senate. Specifically, staff are considering whether the House should approve the resolution as a regular bill, or as a message between the two Houses. The latter option would make it a privileged bill in the Senate and potentially save the Senate several days in the time needed to pass it.

As of Tuesday morning, it was also unclear exactly which version of the resolution the House might approve. The House Rules Committee last week approved a rule for the resolution in the form of H.J.Res. 79. But Monday, a slightly altered text of the resolution was offered on the Rules Committee website.

Staff close to the process said the new version, which takes the form of an amendment to H.R. 2608, is different only in that it makes technical corrections to the resolution. The decision on which version to approve in the House will depend in part on how the Senate prefers to accept the bill from the House.

Both House proposals increase funding for the Federal Emergency Management Agency by $2.65 billion for the next fiscal year. Thats less than the $6.9 billion the Senate approved last week.

The House bill manages to increase FEMA funding without exceeding the 2012 discretionary spending caps that members agreed to in the debt-ceiling deal. The Senate bill adds more FEMA funding without paying for it.