Several members of the City Council, including Chairman Chip Henderson, told staff members on Tuesday they want the amount for paving city streets upped to $3 million.
The budget currently includes $2,588,000 for paving - $412,000 short of the listed amount.
Officials said they would be looking for areas of the budget to find the needed amount.
The City Council is set to vote on the 2015 budget on first reading tonight.
Councilman Moses Freeman said there has been "a hue and cry" about the need for paving in his district.
Concerning the proposed increase, he said, "The public at large would be approving of it."
Chairman Henderson said a recent $2.5 million for paving last year "was probably a 10-year high."
Officials said the amount spent on paving last year was $2.3 million from one fund and $288,000 from another.
Councilman Yusuf Hakeem continued to press for improvements at Eastdale Recreation Center.
Officials said other council members have rec centers in their districts with a list of needs. They said a priority list of needs for the centers is being put together.
No capital funds have been set aside for that purpose in the upcoming capital spending budget.
Officials also said they are sticking with a reduction to Chattanooga Neighborhood Enterprises to $705,000.
The city police budget shows a $400,000 increase after $3 million is taken out for pension savings.
The upcoming budget has $6.7 million in spending for the police fleet of vehicles. It was down to $4 million in the current budget, but was $6.5 million the year before.
The McKamey Center is getting an additional $50,000 to cover the expenses of another staff member to serve a newly annexed area.
The budget includes $300,000 for a Family Justice Center. A search is underway for an executive director and for a location.
Spending has been added to the Youth and Family Services budget to hire additional staff to help carry out a range of programs and services.