New York State could see as much as $10.5 billion in federal highway money over the next six years under a long-delayed $284 billion transportation package that passed the House yesterday.

That early estimate would be about $2 billion more than New York received from the previous six-year package, but likely a smaller share of the overall amount than the state has historically received.

Eager to ease congestion, lower traffic fatalities, and create jobs, lawmakers have been pushing for some version of the bill for more than a year and a half, only to see it stall due to disagreements between Congress and the White House on the total cost.

The $10.5 billion estimate for New York comes from an early internal calculation by House staffers of each state’s share. It does not include the estimate for transit system money.

Freshman Rep. John Kuhl, a Republican of Hammondsport, added language to the bill that would rename a section of Interstate 86 near Corning after Mr. Kuhl’s predecessor, Amo Houghton.

Even as House members voted on the six-year measure yesterday, future fights are expected to determine exactly how much each state receives.

“It’s in a state of flux,” said Rep. Sherwood Boehlert, a Republican of New Hartford, a member of the House Transportation and Infrastructure Committee, who touted more than $50 million in the bill for specific construction projects for his upstate district.

Route 12 in central New York would see nearly $10 million in improvements.

Staff for Rep. Jerrold Nadler, a Democrat of New York, said the House version would also spend about $5 million to improve pedestrian traffic around Lincoln Center.

The Senate will take up the measure next week. Mr. Boehlert will likely be part of negotiations when House and Senate leaders convene to hammer out a compromise, and he said that is where states’ final shares will be decided.