Sessions joins Sens. John McCainJohn Sidney McCainGOP rushes to cut ties to Moore GOP strategist: 'There needs to be a repudiation' of Roy Moore by Republicans World leaders reach agreement on trade deal without United States: report MORE (R-Ariz.) and Lindsey GrahamLindsey Olin GrahamCNN to air sexual harassment Town Hall featuring Gretchen Carlson, Anita Hill Trump wrestles with handling American enemy combatants Flake: Trump's call for DOJ to probe Democrats 'not normal' MORE (R-S.C.) in opposing the sequestration of defense funding. On Monday, those two senators released a statement that said the cuts "cannot be allowed to occur."

McCain in particular has argued that the required cuts would come on top of the $350 billion in cuts that Defense already faces, and nearly $200 billion in other reductions that former Defense Secretary Robert Gates imposed.

Sessions said that the Defense Department makes up about one-sixth of the federal government, and therefore should not have to shoulder half of the $1.2 trillion sequester. McCain and Graham said they are looking for ways around these cuts, and House Armed Services Committee Chairman Buck McKeon (R-Calif.) said he is preparing a bill for that purpose.