The Gills will discover their Carabao Cup third round opponents on Wednesday evening.
The draw for the third round of the Carabao Cup will take place on Wednesday evening live on Sky Sports, with the Gills allocated ball number 13.
Neil Harris' men defeated Exeter on penalties at MEMS Priestfield Stadium on Tuesday night, with the score having been 0-0 after 90 minutes.
Gillingham had defeated AFC Wimbledon 2-0 at Plough Lane in the first round with Mikael Mandron and Jordan Green finding the target.
The full list of numbers for the draw can be seen below. John Barnes and John Aldridge will be the men carrying out the duties following the televised game between Tranmere and Newcastle.
1. AFC Bournemouth
2. Arsenal
3. Aston Villa
4. Blackburn Rovers
5. Brentford
6. Burnley
7. Charlton Athletic
8. Chelsea
9. Crawley Town
10. Crystal Palace
11. Derby County
12. Everton
13. Gillingham
14. Leicester City
15. Lincoln City
16. Liverpool
17. Manchester City
18. Manchester United
19. MK Dons
20. Morecambe
21. Newport County
22. Nottingham Forest
23. Sheffield Wednesday
24. Southampton
25. Stevenage
26. Tottenham Hotspur
27. West Ham United
28. Wolverhampton Wanderers
29. Forest Green or Brighton
30. Leeds United or Barnsley
31. Tranmere Rovers or Newcastle United
32. Wycombe or Bristol City
Ties to be played week commencing November 7.