Councillors at Brighton & Hove City Council are to discuss scrapping parking charges for council run car parks and on street parking on Sundays.
The debate has been prompted by an online petition signed by more than 1,250 people.
From today, Brighton & Hove City Council will become an accredited Living Wage Employer.
Last year a council committee approved plans to pay all council staff the UK Living Wage rate of £7.45 an hour.
A living wage is defined as enough to provide someone with the basic necessities and comforts of life.
The UK minimum wage is currently £6.19 an hour for someone aged over 21.
Under the scheme, 128 permanent staff will benefit - 98 of whom work in the city's schools - plus staff who work for the council on a casual basis. The council will also be looking at its contractual arrangements to try and make sure that those who work on the council's behalf benefit as well.
A list highlighting the profits councils across the country make from parking charges has revealed that Brighton & Hove City Council is the highest earner outside of London. The council's profits for 2011/ 2012 were up 18.9% to £13.7 million compared to the previous year.
Buckinghamshire's profits were up 9.3% to £6.5 million. The figures come from a survey by the Institute of Advanced Motorists (IAM).