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On Sunday, Sen. Roy Blunt (R-Mo.) told ABC News' George Stephanopoulos that he thinks President Biden's infrastructure plan would be a layup for the White House if it was scaled back.

"I've reached out to the White House a couple of times now and said, 'You've got an easy bipartisan win here if you keep this package narrowly focused on infrastructure,'" he said. "And then the other 70 or so percent of the package that doesn't have much to do with infrastructure, if you want to force that in a partisan way, you could still do that. Why would you pass up the opportunity here to focus on roads, bridges ... broadband, all of which wouldn't be 40 percent of this package."

But while Republicans, who are already prepared to reject the bill in its current form, want a streamlined version, progressive Democrats, though generally supportive of the framework, don't think Biden has gone far enough yet. Rep. Ritchie Torres (D-N.Y.), for example, said Sunday that he believes another $30 billion would be needed to "fully address" America's affordable housing crisis.

Sen. Bernie Sanders (I-Vt.) added that "we're probably going to want to put more" money into addressing climate change, and he specifically mentioned health care and making college more affordable as two other areas where "a lot of work has to be done."