The two-term lawmaker has said before he does not believe that passing the deadline means the government will default on its debt.
"We've been in a game of chicken all year," DeMint said, referring to deficit talks that have been ongoing in various forms for months. "Democrats knew it but we didn't. We're already in the game and we can't get out of it, so really it's a matter of who's going to chicken out."
The two-step plan offered by Boehner on Monday would raise the debt ceiling by $1 trillion for a few months and make $1.2 trillion in cuts as the first step. Step two would be to appoint a commission to recommend additional deficit-reduction proposals for Congress to vote on and require a vote on a balanced-budget amendment to the Constitution.
DeMint criticized Boehner's plan for failing to implement enough cuts immediately, and cast doubt on the efficiency of a Congressional commission. DeMint has pledged to continue working to pass the Cut, Cap and Balance Act, which conditions raising the debt ceiling on immediate spending cuts, capping annual spending and voting on a balanced-budget amendment. The measure passed in the House but was tabled in the Senate.