Although plans for the Sudbury relief road were shelved over a year ago, Babergh District Council says it has not given up on it happening entirely.
Both the Labour and Liberal Democrat, Green and Independent groups at the county council have submitted amendments to the Conservative-drafted budget.
A report published this week outlined 19 issues Suffolk County Council must hold its hands up to, including that the plan "was not robust enough".
The Department of Health and Social Care commissioned a 'rapid and independent review' into how West Suffolk NHS Foundation Trust handled the issue.
The council’s cabinet on Thursday agreed the first draft of the budget, which must now go to full council next month.
Despite the recommendations from the task force’s report, the county council has failed to commit to more funding.
Town councillor Jenny Antill branded plans to significantly reduce funding for the Sudbury Advice Centre as “disgraceful”.
A three-week period, where MPs can debate it, must now take place and, once signed off, preparations will be made for the changes to be introduced.
The budget, if it is approved, would see an average band D property in Babergh pay £5 more per year in council tax.
The matter was raised on Tuesday, when the reinstatement of a £120,000 annual grant was discussed – a year after it was announced funding would cease.
Fines aimed at deterring council tax fraud could be introduced in Babergh, if proposals being discussed next week are approved.
A £3million pot has been formed to fund projects such as new speed cameras, electric charging points or new cycle lanes over 12 months.
It means from the county’s portion of council tax alone, a Band B property will pay £40 a year more.
Finance chiefs confirmed in the first draft of the council’s budget for next year that it would be restoring a CAB grant of £360,000 over three years.