The Stockholm city council is expected to formally approve the proposal in the coming weeks.
“I would be very surprised if the decision doesn’t go through,” city councillor Mikael Söderlund, who is behind the proposal, told AFP.
“This is not a controversial decision,” his spokeswoman Sofia Spolander added.
The street in question is located near the Royal Dramatic Theatre that Bergman headed from 1963 to 1966 and to which he returned frequently to direct plays by Strindberg, Ibsen, Anouilh, Williams, Chekhov and Moliere.
An adjoining small square will also be renamed Ingmar Bergman Square.
In addition to his theatre work, Bergman also made more than 40 movies and won three Oscars for best foreign language films during a career spanning four decades.