The Welsh side lie just one point off the bottom and take on Paul Lambert's men who have managed just one win in their last six attempts
Cardiff were left reeling on Saturday as second-half goals from Wayne Routledge, Nathan Dyer and Wilfried Bony secured Swansea's biggest derby win since March 1995.
However, a midweek fixture against 12th-placed Villa gives Cardiff a chance to quickly atone for their defeat.
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Goalkeeper David Marshall has been one of the club's standout performers this season and knows upcoming home fixtures against Villa and Hull City could prove pivotal to their survival bid.
With 13 games remaining, Cardiff currently sit 19th, three points adrift of safety with a goal difference superior only to rock-bottom Fulham.
However, the men from the Welsh capital are just six points behind Swansea, who occupy 10th position in a congested Premier League table.
"Every point and every goal is vital at this stage of the season," Marshall told Cardiff's official website.
"It's so tight in the bottom half and it can all change so quickly … in this division it's all about taking your chances and we'll look to do just that on Tuesday.
"The next two Premier League home games are important. Aston Villa are next and like us have had a bad result over the weekend [a 2-0 defeat to West Ham].
"They'll be looking to respond themselves, but it's a game we have to go out to try to win."
Cardiff go into the game with one victory in nine Premier League fixtures, a 2-1 triumph over Norwich City in their last home match.
Mark Hudson (hamstring) is nearing a return but Andrew Taylor could miss out again with a calf problem.
Villa are only four points above the bottom three after their defeat to West Ham.
Paul Lambert's side have kept just one clean sheet in their last 13 fixtures and would dearly like captain Ron Vlaar to return from his hamstring injury.
Chelsea loanee Ryan Bertrand suffered a rib injury against West Ham and is a doubt for the trip to Cardiff, while Chris Herd (hamstring) has not played this year.
Jores Okore (knee), Libor Kozak (broken leg) and Charles N'Zogbia (Achilles) remain sidelined.
Kozak scored in Villa's 2-0 home win against Cardiff in November, just one of two meetings between the clubs since 1975.
Villa won the other - Gabriel Agbonlahor's early goal securing a 1-0 win over Cardiff in the third round of the 2009-10 League Cup.