Following up on reports from England, DV in the player’s homeland confirms the news from their own sources.
Runarsson, 25, reportedly underwent his Arsenal medical on Monday ahead of a €1.5m move.
He will sign a five-year contract with the English club.
It was reported in May that Runarsson had plans to leave Dijon after losing his place to Alfred Gomis.
Runarsson will be second-choice at Arsenal behind Bernd Leno, but could feature in cup competitions.
Arsenal are selling Emiliano Martinez to Aston Villa and Runarsson will replace him.