Their opponents are really struggling this season as Coventry are only six points from relegation with Rotherham United having three games in hand over the Blues.
Most recently, the Hatters lost 1-0 to Swansea City at home to allow the Swans to be reaching distance to the automatic places.
On Saturday afternoon, Coventry beat relegation rivals Derby County 1-0 at St Andrews.
In the 11th minute, Maxime Biamou slotted past Kellen Roos to score the only goal of the game and to put the Blues just one point behind Wayne Rooney's side with a game in hand.
Midfielder, Eunan O'Kane, remains out with a broken leg.
Tom Lockyer will also miss the clash with an ankle injury.
Coventry will be without Jodi Jones once again as he carries an ACL injury.
Sluga; Bree, Cranie, Bradley; Potts, Ruddock, Rea, Dewsbury-Hall; Cornick, Collins; Clark.
Wilson; Ostigard, McFadzean, Hyam; Costa, Hamer, Kelly, McCallum; O'Hare; Biamou, Walker.
Ones to watch
Luton Town - James Collins
The striker is Luton's top goalscorer in the Championship but despite only scoring twice in 2021, Collins is one of the Hatters' biggest attacking threats.
The 30-year-old is a difficult man to get off the ball especially when holding it up.
Coventry City - Gustavo Hamer
The Brazilian joined City in the summer and is one of their most vital players.
The midfielder has five goals and one assist so far and will look to contribute to Coventry's attack as the Blues hope to win two in a row.
Coventry City 0-0 Luton Town (08/12/2020)
Where to watch
UK residents will be able to watch the game live on Sky Sports (red button) on Tuesday, 16th March with the game kicking off at 19:00 GMT.