A double from Billy Knott helped Phil Parkinson's men earn a thrilling 3-3 draw at The Den in front of over a thousand City fans.
Monday's fourth round will be broadcast live on BBC One from 7:30pm.
The list of draw numbers in full is as follows:
1. Arsenal
2. Southampton or Ipswich Town
3. Stoke City
4. Blackburn
4. Blackburn
5. Crystal Palace
6. AFC Wimbledon or Liverpool
7. Manchester City
8. Rochdale
9. WBA
10. Birmingham City
11. Aston Villa
12. AFC Bournemouth
13. Reading
14. Swansea City
14. Swansea City
15. Cardiff City
16. Bolton Wanderers
17. Sunderland
18. Burnley or Spurs
19. Millwall or Bradford City
20. Derby County
21. Brighton & HA
22. Fulham or Wolves
23. Leicester City
23. Leicester City
24. Scunthorpe United or MK Dons
25. Everton or West Ham United
26. Cambridge United
27. Chelsea
28. Middlesbrough
29. Sheffield United
30. Manchester United
31. Preston NE
32. Doncaster Rovers or Bristol City
Ties to be played on 24th and 25th January 2015.