The Hatters wrote a storied chapter in the club's history when they recorded a first-ever Premier League victory by beating Everton.
The 2-1 win at Goodison Park was enough to lift Rob Edwards' side out of the relegation zone and above Vincent Kompany's Burnley.
The Clarets are still awaiting their first Premier League victory since their return, with their 2-0 defeat to Newcastle leaving them joint bottom.
Luton were due to host Burnley on matchday two but work on their stadium meant the fixture was rescheduled to this week.
Luton vs Burnley: talkSPORT coverage
This Premier League clash will take place on Tuesday, October 3.
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Kick-off at Kenilworth Road will take place at 7:45pm.
talkSPORT 2 is the only place to catch live coverage of the game, which is not available to watch on UK TV.
Commentary comes from Ian Danter and former Sheffield United Women's striker Courtney Sweetman-Kirk.
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Luton vs Burnley: Team news
The home side's captain Tom Lockyer was withdrawn against Everton due to an eye problem and is unlikely to miss out here.
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Reece Burke is a doubt but Ross Barkley is in line to return from a thigh issue having missed out on a reunion with his former side.
Luton are already without Arsenal loanee Albert Sambi Lokonga, as well as Gabriel Osho, Jordan Clark and Dan Potts.
Burnley can welcome back Lyle Foster following a three-match suspension but still have a variety of issues.
Michael Obafemi, Hjalmar Ekdal, Darko Churlinov, Benson Manuel and Nathan Redmond are expected to remain on the sidelines.
Luton vs Burnley: Match facts
Luca Koleosho has created more chances (7), had more touches in the opposition box (18) and completed more dribbles (18) than any other Burnley player in the Premier League this season.
Carlton Morris has scored 60% of Luton's Premier League goals so far (3/5), while his 23 goals in all competitions for the Hatters is more than double any other player at the club has since he joined ahead of last season. He could become the first Luton player to score in three consecutive top-flight games since Mick Harford in April 1992.
Burnley are unbeaten in their last 16 midweek (Tuesday, Wednesday, Thursday) league games (W8 D8) since a 0-2 Premier League defeat to Leicester in March 2022.
Luton are unbeaten in their last 15 home league games played in midweek (Tuesday, Wednesday, Thursday - W8 D7) since a 0-2 defeat to Cardiff in the Championship in February 2021. Home and away, the Hatters avoided defeat in their last five midweek matches in their last top-flight season in 1991-92 (W2 D3), winning the most recent 2-1 over Nottingham Forest in April that term.
Burnley have just one point from their six Premier League games so far this season. They were winless in their first seven games in each of their last two top-flight campaigns (2020-21 and 2021-22), but have never started a league season with 6+ defeats from their opening seven games before.
Having lost their first four Premier League games, Luton are now unbeaten in two, picking up their first win in the competition last time out at Everton. The Hatters had conceded nine goals in their first three games this season (an average of three per game), but have conceded exactly once in each of their last three.
Both teams have scored in 13 of the last 15 Premier League meetings between two newly promoted sides, with the only exceptions being a 3-0 Norwich win at Watford in January 2022 and a 2-0 Fulham home win over Nottingham Forest in February 2023. Since the start of the 2020-21 season, Premier League matches between two promoted clubs have averaged 3.7 goals per game (66 goals in 18 matches).
This is the first top-flight meeting between Luton and Burnley since the 1974-75 campaign, when the Clarets won home (1-0) and away (3-2) games against the Hatters.
Burnley have won six of their last eight away league games against Luton (L2), including each of the last three in a row.
Luton are winless in their last six league games against Burnley (D3 L3) since a 2-0 away win in the third tier in March 2000.