The Sacramento Bee reported that the county Board of Supervisors would discuss extending the ban after last weekend's "Rafters Gone Wild," an event that drew more than 3,000 revelers to the river.
Authorities said rocks and bottles were thrown at officers and paramedics during Saturday's event, as they tried to break up brawls and provide aid.
Currently, alcohol is banned in the river between Hazel and Watt avenues and on the adjoining parkway during the Memorial Day, July Fourth and Labor Day holidays.
The board is expected to consider a year-round or seasonal ban, or one targeted for events that draw large crowds.