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.
Chelsea defender Andreas Christensen has revealed that he sought advice from club legend John Terry after making a few costly mistakes recently.
Nemanja Matic believes Manchester United boss Jose Mourinho's driven methods and high expectations will bring the club more success.