The south-west link is an extension of the Ameti roading project - a series of roading and public transport projects for southeast Auckland. It is planned to be built north of Manukau Harbour.
The National Road Carriers and Auckland Chamber of Commerce want the council to commit to building the east-west link by 2021 - the same completion date set by Mr Brown for the rail link.
In a written submission on this year's proposed budget, chamber of commerce chief executive Michael Barnett said the absence of any funding reinforced its concern at slow progress on the east-west link.
"We note that considerable council resource has been allocated to the city rail link, a project with similar 'highest priority' status as the east-west link...we strongly encourage council to address this imbalance," he said.
Meanwhile, the Employers and Manufacturers Association has criticised the projected council debt of $12.6 billion by 2022 and urged it to reduce its running costs and capital investment.