Fresno Mayor Jerry Dyer is pushing for the idea.
His office has already been in negotiations with LA28, the Los Angeles Organizing Committee.
On Thursday, he plans to ask the city council for approval of an 18-page agreement on potential participation.
According to the document, the agreement would create a local community task force that would select a route, torchbearers and provide marketing and safety guidelines.
The Olympic committee has not yet announced the torch relay route, but it will travel through all 50 states.
The 2028 Olympic opening ceremony takes place July 14, 2028.