The bill says the alternative would have to cut overall spending at least as much as the Budget Control Act requires. Once that happens, "any sequestration order ... to carry out reductions to direct spending for the defense function ... shall have no force or effect."

It also requires President Obama to submit a legislative proposal to Congress that adjusts the sequester accordingly by Oct. 15.

Under current law, the administration must cut $109 billion from 2013 spending by early January — that's the first installment of more than $1 trillion in cuts required by the Budget Control Act, which West voted for when it passed the House in August 2011.