On the packed GOP members-only call, Rep. Duncan Hunter, R-Calif., asked Boehner, R-Ohio, whether he would allow Democrats to carry a bill if the Senate passed a bill to which most House Republicans would object.

“I’m not interested in that,” Boehner remarked, according to a source on the call.

The speaker’s intention to stay steadfast means a rocky final stretch before Congress plummets off the fiscal cliff. Senate Majority Leader Harry Reid of Nevada tried to put pressure right back on Boehner by asking him to take up the bill the Senate passed earlier this year that extends the 2001 and 2003 tax rates on the first $250,000 of American’s annual income.