Caleb Okoli's deflected header was the difference at King Power Stadium, in Russell Martin's first competitive game in charge of Leicester City.
Ahead of the second round draw, here's what we know so far...
When is the draw?
We'll discover our next Carabao Cup opponents at approximately 7:20pm BST on Monday evening.
What's our ball number?
Eleven Premier League clubs join the 35 sides who won their ties from across the Football League. The first two rounds of the draw are regionalised, with teams split into northern and southern sections. We're placed in the southern section, where we are ball no.11.
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
17. Reading
18. Southampton
19. Stevenage
20. Tottenham Hotspur
21. Walsall
22. Watford
23. West Ham United
24. Plymouth Argyle or Exeter City
When will ties be played?
Round two fixtures are planned to take place during the week commencing 24 August, falling between Burton Albion (H) and MK Dons (A) in Sky Bet League One.