The plans include a 200,000 sq ft hub, which is set to become the new council City Hall, office space, a medical centre, a creche, a cafe/restaurant and a roof terrace.
Two linked 8-storey buildings will be erected on plots 13 and 14 off St Mary’s Way. If approved, construction could start later this year.
If a city cabinet approves the business case for a relocation, 1,200 council staff would move to building and work alongside a number of public sector organisations.