Jordan, who chaired the Republican Study Committee in the last Congress, said he voted against the fiscal-cliff deal because it delayed planned spending cuts. He said Congress can't delay cuts any more, or the U.S. will run the risk of a massive debt crisis.

"Here we are ready to raise the debt ceiling again, and we haven't done one dime of those promised reductions from the last debt ceiling agreement," he said. "This is where I say the madness has to stop."

He also accused Obama of dodging the issue of spending cuts, and said this is understandable given the four $1 trillion budget deficits Obama has presided over.

"If you've presided over the four largest deficits in American history and you've been president when the debt grew by $5 trillion in your first term, maybe you wouldn't want to talk about it either," Jordan said.