An injury-time winner from Chris Templeman gave Morton victory over battling Buckie Thistle.
Morton looked to have booked their place in the fourth round midway through the first-half after winger Jim McAlistair set up two quick-fire goals.
He was the provider for Ian Russell after 21 minutes and Scott McLaughlin two minutes later.
Goals from David Macrae and Graeme Stewart looked like taking the tie to a replay until Templeman's late strike.
Morton: McGurn, Finlayson, Harding, Greacen, Walker,
McLaughlin, Millar, McAnespie (Gardyne 54), McAlistair,
Weatherson, Russell (Templeman 89).
Subs Not Used: Graham, Keenan, Robinson.
Booked: Russell.
Goals: Russell 21, McLaughlin 23, Templeman 90.
Buckie Thistle: Main, Shewan , Mackinnon,
Matheson (Neil Davidson 81), Duncan, Small,
Neill (Macdonald 74), Macrae, Graeme Stewart,
Bruce (Andy Low 86), MacMillan.
Subs Not Used: Edmond, Strong.
Booked: Graeme Stewart, Mackinnon, Duncan.
Goals: Macrae 45, Graeme Stewart 68.
Att: 1,833
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