Food assistance is set to run dry this weekend as the federal government shutdown drags on for the 31st day.
Rollins said that funds for SNAP's Women, Infants, and Children (WIC) program may also run dry, although the Trump administration used tariff revenue to temporarily keep it operational.
"Millions of Americans, as of tomorrow, will no longer receive SNAP [benefits] and potentially WIC—or even a paycheck," Rollins said during Friday's GOP press briefing.
More than 42 million low-income Americans depend on SNAP to put food on the table and feed their families.
Families will go hungry if the shutdown continues, Johnson told reporters, adding that the "tension is rising" between both sides.
The Senate adjourned on Thursday after Republicans and Democrats failed to reach an agreement for the fifth consecutive week, although Senate Majority Leader John Thune (R-S.D.) said he expects shutdown talks to continue over the weekend.
President Donald Trump suggested that Republicans should play the "Trump card" and do away with the 60-vote threshold needed to advance most legislation. The move would allow Republicans to fund the government without Democrats' votes.
Meanwhile, food banks across the nation face the challenge of feeding millions of Americans who depend on SNAP to survive.
The fight to keep SNAP benefits flowing during the shutdown is playing out in courts. State leaders from 25 Democrat-led states and the District of Columbia have sued the federal government over whether contingency funds could be tapped to keep the program alive.
SNAP costs about $8 billion a month. Government lawyers have argued that the contingency fund with about $5 billion cannot legally be used to maintain SNAP. The states say it must be used for that purpose and point to more money available in a second federal account containing around $23 billion.
Meanwhile, several states are scrambling to find ways to help residents who rely on the funds to eat.