"All of this talk about a second stimulus bill has been rather interesting," House Minority Leader John Boehner, R-Ohio, said Wednesday at a news conference with other House Republicans. "I think it's an admission on the part of the administration that their stimulus plan is not working."
Other stimulus critics say another recovery will only worsen the situation.
"Even though the president on the first of July had said that the stimulus bill had 'done its job,' my constituents see it differently," said Rep. Mike Pence, R-Ind. "The only thing the stimulus plan has stimulated is more government and more debt."
Obama hasn't said directly whether he would approve of a second stimulus plan, but he also hasn't rejected it altogether.
"The question that some have argued is, OK, what next? Maybe you stop the freefall, but you still have close to 10 percent unemployment, and, you know, this is something that we wrestle with constantly," Obama said in an interview with ABC News' Jake Tapper Tuesday. "The more that we can do to stimulate the economy in the short term, the challenge we've got as everybody knows is that we inherited a big deficit, and it is at a certain point potentially counterproductive if we're spending more money than we're having to borrow."
The president said supporters like Buffett have "legitimate concerns" about the economy, and hence his administration wants to make sure that "those pillars of long term economic growth get put in place."
With reports from ABC News' Jake Tapper and Huma Khan.