Senate Budget Committee Chairman Kent Conrad, D-N.D., is among them, saying he won't vote for a long-term extension of the limit unless it includes a deficit-reduction plan.
It's the latest illustration of the way the Tea-Party-infused GOP is driving the debate over federal spending, The Washington Post says.
At the same time, only 16 percent of Americans back lifting the debt ceiling, according to a Wall Street Journal/NBC survey. Nearly six in 10 independents are against it, and nearly half of Democrats say they don't know enough to have an opinion.