"The necessary corollary is that reductions in SNAP benefits could have a greater impact in setting back our recovery than other policies that achieve equivalent levels of deficit reduction," they wrote. "Given these potential consequences, we want to be sure that the full economic impact of the proposed cuts is taken into account when the bill is debated.

"Consequently, we ask that you include in any CBO analysis of this legislation an estimate of the changes in economic output and employment that can be expected to result from these SNAP cuts."

The letter was signed by House Minority Whip Steny Hoyer (D-Md.) and Reps. Rosa DeLauro (D-Conn.), James McGovern (D-Mass.) and Mark PocanMark William PocanModerates see vindication in Lipinski’s primary win DeVos battles lawmakers in contentious hearing Betsy Devos: School safety commission to consist of four Cabinet secretaries, no Democrats MORE (D-Wis.).

The CBO released one report late Monday on the GOP bill, the Nutrition Reform and Work Opportunity Act, H.R. 3102. That report found that the bill would cut up to 3.8 million people off the food stamp rolls in 2014, and 14 million people over the next decade.

The legislation is expected to be the subject of sharp debate later this week. It would eliminate the ability of states to seek waivers from work requirements for able-bodied adults, which CBO said would save $19 billion over 10 years.

Another $20 billion in savings would come from other reforms to SNAP that limit eligibility for food stamps.