The council delayed a vote on a permanent ordinance to give incoming City Attorney Carmen Trutanich a chance to review it. He is due to take office July 1.
The proposed ordinance would limit digital billboards and supergraphics to 21 designated "sign districts," which include Hollywood, Encino, Canoga Park, Boyle Heights and the Los Angeles International Airport.
Companies violating the ordinance would be fined between $2,000 and $48,000 a day, depending on the offense.
The Associated Press contributed to this report.