Federal grants totalling more than $7.1 million have been awarded to the county for the project.
A proposed deck along the existing bridge is estimated to cost $7.6 million.
Officials anticipate the elimination of the Pepper Avenue extension south of Slover Avenue.
The city is expected to pitch in $246,000 to the project, with SanBAG contributing $369,000.
Most of the city's funding will come through traffic impact fees, with a share borrowed against the city's future Measure I revenues, according to a staff report to the council.
In other action items, the council is scheduled to consider an amendment to the Maintenance Services Agreement with Cannon Pacific Inc. for street sweeping services in the amount of $161,726.
The contract was awarded to Cannon in January 2012 in the amount of $158,400. It is renewable for four one-year terms.
Also, officials are expected to delegate investment authority to the city treasurer.
According to state law, the city can delegate the authority to the city treasurer to invest funds for a one-year period, unless revoked.
The city treasurer is responsible for planning and investing pooled funds and bond proceeds.