People in Norwich look likely to be asked to pay about 10p a week more in the share of council tax which pays for services provided by City Hall.
Council leaders had warned they could have to put up council tax by about 2pc to help to protect services and had consulted the public on the increase.
And newly-published budget papers, which councillors will discuss next week ahead of a final decision later this month, show that the Labour-run council is factoring in a 2.05pc increase.
The council is looking to set a budget of £16.1m for 2016/17, which would be partly financed by a council tax of £249.01 per band D property.
That would be an increase of £5 on the current year's portion of the bill which goes to City Hall.
There were 970 responses to the consultation which the city council carried out over its budget planning, including the potential council tax increase.
In that consultation, which asked to what extent people supported the council raising its share of council
tax by 2.05 per cent to protect key services, just under 56pc of people supported it, while just over 33pc were against it.
Nearly 12pc of people neither agreed or disagreed, or said they did not know what their view was.
The council is looking to make some £2m of savings and cuts next year and each year up to 2023.
Those savings and cuts include managing staff vacancies, increased charges for garden waste collections and reducing costs of street cleaning.
Alan Waters, leader of Norwich City Council, said reduced funding from the government meant the council had to look at ways of generating more money, such as through council tax.
He said: 'The council is having to look right across all its services to make sure we can provide the range of services which people value.
'We have about £1m on unavoidable growth on the budget every year because of inflation and increases to expenditure and we have consistently argued that a council tax increase is a way to build up our budget base.
'Our consultations show that people do support that approach.'
Council tax bills in Norwich are split between the city council, the county council (budgeting for a 4.8pc increase) and the police and crime commissioner (who intends to increase the share for policing by just shy of 2pc).
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