Supporters say the so-called October 26th Women's Driving Campaign, is an effort to change Saudi culture. Saudi Arabia is the only country in the world where women don't drive.
There is no official law against it, just a strongly held cultural prohibition enforced by the country's powerful Islamic establishment.
Saudi women living abroad are among those leading the effort for change.
Friday's edition of the pan-Arab newspaper Al-Hayat quotes Saudi Interior Ministry spokesman Turki al-Faisal as saying cyber-laws against political dissent could apply to anyone supporting the women driving campaign. Conviction can bring up to five-year prison sentences.
The Associated Press contributed to this report.