To be on the brink of...

Meaning

To be very close to a particular situation or event.

Examples

• John: How's the project coming along?
• Alice: We're <b>on the brink of</b> completion. Just a few minor details left.
• John: That's great news! When is the final deadline?
• Alice: Next week. We're really <b>on the brink of</b> finishing everything up.