on the verge of (something)

on the verge of (something)

Approaching or nearing something. After weeks of failed experiments, I think we're finally on the verge of a breakthrough.
See also: of, on, verge

on the verge of

Close to, on the brink of, as in I was on the verge of calling the doctor when he suddenly got better, or Sara was on the verge of tears when she heard the news. This term uses verge in the sense of "the brink or border of something." [Mid-1800s]
See also: of, on, verge