The draw for the Fourth Round of the FA Youth Cup was made earlier today.
The Bees are currently at the Third Round stage, having beaten Gillingham 3-1 away from home and Dulwich Hamlet 2-0 at Griffin Park last month.
They will play Bristol City at Ashton Gate in a Third Round tie on Wednesday, December 18.
The team that comes through that match now knows who they will play in the Fourth Round.
The draw has handed Bristol City or Brentford an away tie against Accrington Stanley.
Accrington have beaten Carlisle United, Ilkeston and, most notably, West Ham United on their run to the Fourth Round.
The Fourth Round tie must be played before Saturday January 25.
The Bees will be looking to at least emulate their run in 2011/12, when they were unluckily beaten by Premier League Stoke City in the Fourth Round.
Last year The Bees were beaten by Reading in the Third Round.