Michael Laudrup's side won the competition last season and will kick off their campaign this term against the Championship club, who won the trophy in 2011, at St Andrew's
The Welsh club, who claimed the first major trophy of their 101-year history with victory in final of last season's competition, were granted a bye for the second round as holders.
And, encouragingly for Michael Laudrup's side, their bid to retain the title begins at a ground where they have avoided defeat in their last three visits.
|7/1||Swansea are 7/1 with Paddy Power to beat Birmingham 2-1
The Championship outfit's star man was undoubtedly Manchester United loanee Jesse Lingard, who scored all four goals on his debut for the club, including a 13-minute hat-trick.
The two sides have never met in the Capital One Cup before and, although this will be their 30th match in all competitions, the last two of those fixtures have come over a period of 18 years.
Swansea boss Laudrup's main concern will be his player's welfare as they deal with the physical toll of competing in the Premier League, the Europa League and the Capital One Cup simultaneously.
And the Dane will hope for no further injuries, with Pablo Hernandez (hamstring) and Neil Taylor (thigh) already ruled out.
Birmingham, meanwhile, will be without central defender Kyle Bartley, who is ineligible to play against his parent club, but have no other concerns.