The draw for round two of the Carabao Cup will take place on the evening of Monday 10 August, live on Sky Sports Football.
Brentford will learn of their opponents at approximately 7.20pm BST, prior to the televised Devon derby between Plymouth Argyle and Exeter City.
As per previous seasons, the unseeded draw is split into northern and southern sections.
The Bees, who reached the quarter-finals of the competition in the previous two campaigns, enter at this stage alongside the 10 other Premier League clubs who are not competing in Europe this term.
Brentford are ball number three in the draw.
Southern section ball numbers
1 AFC Wimbledon
2 Birmingham City
3 Brentford
4 Cambridge United
5 Cardiff City
6 Charlton Athletic
7 Chelsea
8 Coventry City
9 Fulham
10 Ipswich Town
11 Leicester City
12 Leyton Orient
13 Luton Town
14 Millwall
15 Norwich City
16 Peterborough United
17 Reading
18 Southampton
19 Stevenage
20 Tottenham Hotspur
21 Walsall
22 Watford
23 West Ham United
24 Plymouth Argyle or Exeter City