Newly-promoted Cambridge have been drawn to face 2011 winners Birmingham in the first round of the Capital One Cup.
Richard Money's side, who won promotion to Sky Bet League Two with a Conference play-off final victory over Gateshead, will travel to St Andrew's in the week beginning August 11.
Conference champions Luton will take on League One side Swindon, winners of the League Cup back in 1969, at Kenilworth Road.
Cardiff, who were relegated from the Barclays Premier League at the end of last season, have been drawn away to Coventry.
Source: PA
