The Santa Clara Stadium Authority wants the annual game between Stanford and UC Berkeley moved from Memorial Stadium to the new Levi's Stadium in Santa Clara.
After that, the current school stadium rotation would continue in 2015 with Cal's Memorial Stadium.
Still, some fans say they don't want to mess with tradition.
"I really think that the iconic event itself would be better served being played at one of the more traditional stadiums," Reginald Harper said.
"It's taking away a little of that hometown feel that's kinda neat when you're going in to the opposing area," Jim Langford said.
Both schools would have to approve the move.
This year's Big Game between the Bears and Cardinal is November 23 at Stanford Stadium.