House Minority Whip Steny Hoyer (D-Md.) told reporters Tuesday that Democratic leaders will urge their members to vote against Boehner's "Plan B," meaning Boehner will have to scrounge up enough votes from his own contentious caucus if he wishes to pass the idea through the House.

Hoyer said the "math does not work" in Boehner's idea, calling the revenue it raises "woefully inadequate" to address debt relief. Hoyer called Boehner's idea a "political ploy" designed to protect Republicans from a public perception that they are largely concerned with trying to protect the wealthy.

But Hoyer, who was briefed on the status of talks by White House congressional liaison Rob Nabors on Tuesday morning, said he was encouraged that Boehner has indicated that negotiations continue and his plan is not designed as a substitute for a bipartisan deal.

Senate Majority Leader Harry Reid (D-Nev.) also dismissed Boehner's plan, calling it "the farthest thing from a balanced approach."