Bradford's reward for knocking Arsenal out of the Capital One Cup is a semi-final against Aston Villa, while Chelsea will take on Swansea.
League Two Bradford will play the first leg of their semi-final at home against five-time winners Villa.
Chelsea, who thrashed Leeds 5-1 on Wednesday night to progress, will play their opening leg at Stamford Bridge.
The first matches will be played in the week starting 7 January and the second legs a fortnight later.
League Cup pedigree
Aston Villa won the last of their five League Cups in 1996
Chelsea have won it four times, including in 2005 and 2007
Bradford and Swansea have never won the competition
The Bantams pulled off one of the biggest League Cup shocks by beating Premier League side Arsenal on penalties at Valley Parade last week.
Villa won 4-1 away at Norwich and are currently unbeaten in six matches in all competitions.
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