DONS captain Paul Hartley was relieved to help Aberdeen avoid another embarrassing cup exit at the hands of lower-league opposition.
In recent seasons the Dons have been dumped out of cup competitions by the likes of Queen of the South, Raith Rovers and Dundee, but they managed to overcome a tricky encounter with Dunfermline thanks to Neil McGregor's injury-time own goal.
The Dons will now face a trip to St Mirren in the quarter-finals of the Scottish Cup and Hartley believes that represents a decent draw for the Pittodrie outfit.
The Aberdeen captain said: "I'm fed up hearing about the teams like Queen of the South and Raith Rovers that have beaten Aberdeen.
"There has been a bit of a change this season and the mentality has been different. We have managed to get through these games. We are pleased we are in the quarter-finals and we feel that we have a good draw away to St Mirren.
"It's going to be a difficult match but we will fancy our chances against anyone. The incentive is there to try to get to another semi-final and hopefully we will be good enough on the day."