Brown made his comments Sunday during an appearance on NBC's Meet the Press. He was asked whether legalizing marijuana was a good or bad idea for California.
Brown said the state already has medical marijuana which gets very close to what Colorado and Washington have.
"I'd really like those two states to show us how it's going to work. The problem with anything, a certain amount is okay but there is a tendency to go to extremes. And all of a sudden if there's advertising and legitimacy, how many people can get stoned and still have a great state or a great nation. The world's a pretty dangerous, very competitive. I think we need to stay alert."
In a wide-ranging interview Brown also discussed California's drought problems, climate change and his future political career.
Standard and Poor's announced it has raised California's bond rating.
A new California law allows the death certificates of transgender people to reflect the gender they identified with, rather than their biological sex.
A new law requires smartphones sold in California to come with added protections.
California lawmakers are turning their attention to fixing the state’s crumbling roads. Assembly Republicans threw their plan into the mix Monday.
Governor Jerry Brown signed the California budget with no fanfare Thursday.