Harry Reid, the Senate Majority Leader, has unveiled a plan to break the deadlock over the debt ceiling. Republicans in the House of Representatives are working on their own plan. The most likely scenario is that whatever the House does, that Reid's plan will pass the Senate late this week and then go to the House of Representatives, which will either pass it or reject it. If the House rejects it, the debt ceiling probably will not be hiked in time to allow Social Security checks to go out on August 3 and all hell will break loose. Even if the House Republican plan passes in the House, which is uncertain since there probably will be no Democratic votes for it and several dozen Republicans have vowed to vote against any debt ceiling hike, it is unlikely that there would even be time for the Senate to act on the House bill even if it wanted to if even one Senator decided to filibuster. There would probably be a lot more than one who would filibuster the House plan and some of them might be Republicans.
The summary of the Reid plan does contain this language which could actually result in a higher administrative budget for Social Security: "$40 billion in Program Integrity Savings. The proposal saves $40 billion by reducing fraud and abuse in mandatory programs. This includes: Continuing Disability Reviews and SSI redeterminations ..."