McCleary sustained injury in last week’s home defeat to Sheffield United and it has been confirmed as a broken ankle.
Omar Richards and Yann Kermogant are still out due to respective calf injuries, although the latter is closing in on his return.
Defenders Paul McShane and Tommy Elphick, plus forward Joseph Mendes and winger Callum Harriott all remain sidelined.
Leeds defender Liam Cooper is an injury doubt after sustaining a dead leg in the midweek defeat to Wolves and will be monitored.
Forward Kemar Roofe is also doubtful after missing the last three games due to a calf injury.
Goalkeeper Bailey Farrell-Peacock made a rare start in midweek and boss Paul Heckingbottom must decide between him, Felix Wiedwald and Andy Lonergan, who is hoping to be fit after a sore neck.
Defenders Conor Shaughnessy and Luke Ayling (both ankle) remain unavailable as Leeds bid to avoid a third straight league defeat.
Burton midfielder Martin Samuelsen will use the international break to recover from illness after pulling out of Norway U21's games.
Jonas Lossl is staying 'optimistic' over Huddersfield's chances of survival this season and has urged his team-mates to 'go for it'.