Members on Tuesday are expected to debate and approve the rule, and possibly debate the bill itself. But work on amendments is expected Wednesday.

On Monday, the House Rules Committee approved a rule that makes five amendments in order, including one that calls on Obama to use the Simpson-Bowles deficit-reduction plan as a basis for balancing the budget. Other amendments are from Reps.:

John FlemingJohn Calvin FlemingCoast Guard suspends search for missing Ohio plane Freedom Caucus member to bring up bill on impeaching IRS chief GOP seeks to make it 52 MORE (R-La.), requiring Obama's supplemental budget to evaluate the possibility of consolidating agencies;

• Luke Messer (R-Ind.), requiring Obama's supplemental to include the per-taxpayer cost of the budget deficit for each year in which a deficit is expected;

• Steve Scalise (R-La.), requiring the supplemental to note the growth of means-tested and non-means-tested direct spending; and

• Mark Takano (D-Calif.), clarifying that Congress holds the responsibility for passing budgets and appropriating funds.

The Senate is out Tuesday for the Senate Democratic retreat; senators return to work Thursday.