Senate and House leaders announced on Sunday that they had struck an overarching agreement on 2024 government funding, but it was not clear whether they would be able to cement the deal and pass it into law in time to avert a partial government shutdown in less than two weeks.

After weeks of negotiations and on the eve of Congress returning from its holiday break, top Senate and House members said they had agreed to set the total amount of spending at nearly $1.66 trillion, bringing funding in line with the deal struck last year between President Biden and then-Speaker Kevin McCarthy that met with vehement conservative opposition.

The agreement includes an increase in Pentagon spending to $886.3 billion and holds nondefense funding essentially flat at $772.7 billion, including $69 billion of added money agreed to through a handshake deal between Mr. McCarthy and the White House. That additional spending is offset by speeding up $10 billion in cuts to I.R.S. enforcement and clawing back $6 billion in unspent Covid dollars and other emergency funds. Officials said the agreement did not include an additional $14 billion sought by the Republican and Democratic appropriators in the Senate to beef up both domestic and military spending.

“By securing the $772.7 billion for nondefense discretionary funding, we can protect key domestic priorities like veterans benefits, health care and nutrition assistance from the draconian cuts sought by right-wing extremists,” Senator Chuck Schumer, Democrat of New York and the majority leader, and Representative Hakeem Jeffries of New York, the House Democratic leader, said in a joint statement.