WASHINGTON — Vice President JD Vance said Tuesday he believes U.S. military members will be paid at the end of the week, though he did not specify how the administration will reconfigure funding as pain from the second-longest shutdown spreads nationwide.

The funding fight in Washington gained new urgency this week as millions of Americans face the prospect of losing food assistance, more federal workers miss their first full paycheck and recurring delays at airports snarl travel plans.

“We do think that we can continue paying the troops, at least for now,” Vance told reporters after lunch with Senate Republicans at the Capitol. “We’ve got food stamp benefits that are set to run out in a week. We’re trying to keep as much open as possible. We just need the Democrats to actually help us out.”

The vice president reaffirmed Republicans’ strategy of trying to pick off a handful of Senate Democrats to vote for stopgap funding to reopen the government. But nearly a month into the shutdown, it hasn’t worked. Just before Vance’s visit, a Senate vote on legislation to reopen the government failed for the 13th time.

The strain is building on Democratic lawmakers to end the impasse. That was magnified by the nation’s largest federal employee union, which on Monday called on Congress to immediately pass a funding bill and ensure workers receive full pay. Everett Kelley, president of the American Federation of Government Employees, said the two political parties have made their point.