Remember, for a piece of legislation to reach the President's desk generally it must be passed by both the House and the Senate. Normally one house will pass something and the other will take it up and pass it, often with amendment, or pass its own version. If the two bills differ the two sides will meet in conference and report a unified bill that goes back to both for passage.
The Republican controlled House of Representatives passed legislation to avoid the sequester last year, twice. The Democrat controlled Senate took neither of them up, not to pass or even to pass their own version. I am looking forward to seeing a Senate passed piece of legislation the House can take up and pass, or pass with amendment and go to conference for a unified bill that can be passed and go to the President. The ball is in Harry Reid's court, though with his record of failing to pass a budget for years now not many are hopeful he will do anything about it.