Fraserburgh await the winners of Annan and Stenhousemuir’s replay.
The Broch will travel south to either Galabank or Ochilview, depending upon the outcome of next Tuesday’s replay.
Martyn Corrigan told The Falkirk Herald: “It’s good that it is a home tie - but means nothing if we don’t get past Annan on Tuesday - that’s a long enough trip in itself.
“We’re not even looking at the cup game - Dunfermline in the league comes first, but it was good to see Errol Douglas score his first goal on Saturday.”
Meanwhile Falkirk have landed a plum tie with Rangers travelling to The Falkirk Stadium.
Assistant manager Stevie Crawford said: “It’s a good draw from the financial side and the crowd will be big and the players will look forward to that too. We lost twice in the competitions against them last season, so it will be hard - and they’re unbeaten in the league just now too.
“It’s a chance to build some momentum.”