The Potters will be a seeded team in the draw, which is scheduled to take place following the conclusion of Sky Sports' televised First Round clash between Coventry City and Cardiff City.
Ties are scheduled to take place on Tuesday 26th and Wednesday 27th August, in between the away games with Hull City and Manchester City.
Mark Hughes' side drew Walsall at home at the same stage last term, before going to on beat Tranmere Rovers and Birmingham City.
A Quarter Final tie with Manchester United at the Britannia Stadium then ended with a 2-0 win for the visitors in a game which was temporarily suspended due to adverse weather conditions.
Details of the draw will be made available on the Club's social media channels and here at stokecityfc.com.