Richmond Public Schools is on track to gain an extra $9 million to help meet critical needs in the coming year.

Police officers and firefighters also are on track to gain bigger raises of roughly 2.5 percent to help reduce turnover in public safety.

But Richmond City Council’s efforts to pay for those priorities are expected to have an impact on other city services.

Leaf collection and Sunday openings of the city’s public libraries could be wiped out, according to Mayor Dwight C. Jones’ administration. And there could be a slowdown in obtaining permits and inspections for construction projects and in repairing broken streetlights, administration officials have told the council.

So far, the mayor remains mum on whether he would consider vetoing some or all of council’s changes to his spending plan.

The full list of changes that the council plans to make to Mayor Jones’ proposed two-year budget will be on view Friday, May 8.

That’s when the governing body will hold a special meeting to formally introduce its amendments to the mayor’s budget for the 2016 and 2017 fiscal years that will begin July 1. Council is to vote on its proposals Friday, May 15, at another special meeting.

Christopher L. Beschler, the city’s acting chief administrative officer (CAO), said the council’s proposals “will have a impact,” but he said he and his staff would need more time to understand the effects that council’s changes will cause.

For Selena Cuffee-Glenn, the incoming CAO who is scheduled to start May 18, the actions of the council are expected to present her with an additional challenge.

The battle of the budget was definitely more intense this year because the mayor’s budget proposal for fiscal year 2016 essentially showed the city would have the same amount of revenue as it did for the current year — about $689 million, with only a small projected increase.

From the start, the council had committed to finding extra money for schools, and some wanted more money for district projects and to boost police officers’ and firefighters’ pay.

Mayor Jones’ plan provided no extra funding for schools, despite pleas for up to $24 million from the School Board to fuel Superintendent Dana T. Bedden’s academic improvement plan.

The School Board request included about $10 million in increases that are mandatory and that would force cutbacks in services if additional money is not provided, council was told. That’s the amount the council wanted to find, but reduced it to a $9 million increase for fiscal 2016. The mayor’s plan provided $136 million for schools in fiscal 2016; the council amendment would boost it to $145 million.

Police complaints that the proposed pay increase in the mayor’s plan would put rookie officers near the same pay level as veteran officers pushed council to find money for an increase for veterans this year, instead of next year as the mayor proposed. Council has earmarked about $1.1 million to provide a step increase for police officers and firefighters that will average about 2.5 percent.

The proposed council changes to the mayor’s plan appear small. For fiscal year 2016, for example, the changes appear to amount to $13.5 million, or about 2 percent of the mayor’s proposed $689 million budget.

However, the big impact comes from council’s decision to dig into what is called vacancy spending — or funding for unfilled positions — to find most of the money.

Currently, more than 400 positions are vacant, or about 10 percent of the nearly 3,900 positions paid from the general fund.

The money for those positions usually is included in the next year’s budget, giving department heads flexibility to get work accomplished by filling the vacant positions, hiring temporary workers, paying overtime to those picking up the slack or employing outside companies, Mr. Beschler said.

In order to present a balanced budget, Mayor Jones already had lopped off about $6 million from vacancy funding, essentially eliminating funding for dozens of positions. That left about $14.2 million, the funding that equals about 272 positions, based on an average salary of $52,300 per employee, including health insurance and benefits.

Stuck in finding money, council’s revamped spending plan took another $9.2 million from the vacancy pool in fiscal year 2016, leaving only about $5 million, and at least $10 million in fiscal year 2017.

James A. Jackson, acting deputy CAO for operations, told council that cutting vacancy money from the Department of Public Works would have consequences. The department is projected to lose nearly $2.1 million.

Mr. Jackson said the money was used this year for the summer blitz that brought needed repairs to miles of rutted alleys and to pay for temporary workers to pick up leaves in the fall. Without that money, he would have to eliminate both operations.

He said the loss of the money would mean that it could take 90 days or longer for the city to pick up mattresses, tree limbs and other bulk waste. He said vacancy funding also has been critical to ensuring the city cleared snow from 52 major routes within 48 hours.

Harriet H. Coalter, the city’s library director, said she may have to eliminate Sunday services if her vacancy money is wiped out.

Mark Olinger, director of the Department of Planning and Development Review, said he has 18 vacant positions he’s trying to fill, mostly among construction inspectors and development review. He warned council members to expect to hear complaints from developers and homeowners whose plans would take longer to go through the approval and inspection process.

Council spread the pain over every office, including constitutional officers such as the sheriff and commonwealth’s attorney, which receives a major share of their money to support salaries from the state.