The 26-year-old's future has been the subject of rife speculation this summer after he began agitating for a move away from Anfield.
The clash is the pick of a third round to be played on September 24 or 25, when there will be a repeat of this year's FA Cup final.
Wigan shocked Manchester City to triumph in May and will travel to the Etihad Stadium hoping to cause another surprise in this year's Capital One Cup.
Jose Mourinho's first taste of the competition he twice won in his previous spell as Chelsea boss will be at League One outfit Swindon.
Elsewhere, Tranmere travel to Stoke, Watford host Norwich, Hull welcome Yorkshire rivals Huddersfield to the KC Stadium and Leicester take on neighbours Derby.
- Sports & Recreation
- Branislav Ivanovic