Candidates from all parties run would against each other, followed by a ranked choice voting general election.
Ranked choice voting systems are already in place for some races in Alaska, Maine, and cities like Minneapolis and New York City.
The city is poised to be only the second locality in all of Virginia to adopt the election model.
Arlington first adopted the method last year, following a change in state law granting local governments permission to do so.
As the November election approaches, advocates for expanding ranked-choice voting are urging people to vote yes on Oregon Measure 117.
Voters in Washington, D.C., will decide in November whether to establish a ranked choice voting system and semi-open primaries in the district.
Portland is moving to Ranked Choice Voting for city and county elections, with education campaigns underway for smooth implementation.