Thompson has an ankle problem while Close is wrestling with a thigh strain and both players are doubts for the match this weekend.
Gareth Evans, Brandon Haunstrup and Jack Whatmough will all miss out with knee injuries.
Milan Lalkovic (Achilles), Stuart O’Keefe (groin) and Danny Rose (leg) are also sidelined.
Scunthorpe’s new signings Ivan Toney, Ryan Yates and Cameron McGeehan are all poised to make their debuts.
Striker Toney (Newcastle), plus midfielders Yates (Nottingham Forest) and McGeehan (Barnsley) have all joined on loan until the end of the season.
Skipper Rory McArdle could return to contention after missing the last five matches due to a groin injury.
Midfielder Sam Mantom (groin) is three weeks away from a return to action, while Jonathan Margetts (knee) and Jordan Clarke remain long-term absentees.
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'.