The visitors, meanwhile, have won only one of their seven competitive games this season, although they have taken four points from their previous two encounters.
Match preview
The Bluebirds have experienced a mixed start to their season, winning two of their opening seven games in all competitions.
Since beating Birmingham City 1-0 on August 13, Cardiff have gone on to take just two points from their next three league encounters, leaving them in 14th place ahead of the midweek contest.
A goalless draw away to West Bromwich Albion was followed by a 2-0 away defeat to Bristol City, ensuring that they are yet to win on their travels this season.
They had the chance to clinch consecutive home victories on Saturday, but had to settle for another goalless draw against a Preston North End side who have not conceded in the league this season.
Having failed to score in their last three matches, Steve Morison's side will need to improve in the final third if they are to claim all three points on Tuesday.
Like their hosts, Luton have also struggled for wins this season, with their opening seven games in all competitions yielding one victory.
The Hatters began their Championship campaign with a four-game winless run before they beat Swansea City 2-0 to claim their first win of the season.
After goals from Allan Campbell and Carlton Morris helped Luton defeat the Swans, they had the chance to clinch back-to-back victories on Friday against Sheffield United.
Morris gave the Hatters an early lead, but a second-half strike from Oli McBurnie ensured that the spoils were shared, which leaves Nathan Jones's side in 19th place ahead of Tuesday's encounter.
After netting four goals in their opening six league games, Luton will hope that they score more than one goal in a game on Tuesday for only the second time in the Championship this season.
Cardiff City Championship form:
Cardiff City form (all competitions):
Luton Town Championship form:
Luton Town form (all competitions):
Team News
Cardiff will be without the services of Joel Bagan due to a head injury, while Jamilu Collins is a long-term absentee.
Niels Nkounkou came off the bench to make his debut for the club on Saturday, and the left-back could be given his first start against Luton.
Watters is expected to retain his place in the side, and the forward will look to open his account for the season when he leads the line on Tuesday.
As for Luton, they will be unable to call upon Pelly Ruddock Mpanzu and Harry Cornick, who are ruled out with knee and leg injuries respectively.
Although they were unable to claim all three points on Saturday, the Hatters could name an unchanged lineup for Tuesday's contest.
After scoring in the last two matches, Morris will look to add to his tally when he partners Elijah Adebayo in the frontline.
Cardiff City possible starting lineup:
Allsop; Romeo, Ng, Kipre, Nkounkou; Ralls, Wintle; Colwill, Sawyers, Philogene; Watters
Luton Town possible starting lineup:
Horvath; Potts, Lockyer, Burke; Bree, Freeman, Clark, Bell; Campbell; Adebayo, Morris
We say: Cardiff City 1-2 Luton Town
Although both sides have struggled to consistently find the net this season, with four points from their last two games, we think that Luton will have the confidence to claim a narrow victory on Tuesday.