Verge On Meaning

(transitive, idiomatic) To approach or come close to something; to border or be on the edge of something.

Example:   Bungee jumping verges on the insane, if you ask me.
1847, Charlotte Brontë, Jane Eyre, Chapter XVIII
  It was verging on dusk, and the clock had already given warning of the hour to dress for dinner, when little Adèle, who knelt by me in the drawing-room window-seat, suddenly exclaimed...