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.
Rangers manager Steven Gerrard is weighing up a move for Liverpool full-back Jon Flanagan, reports claim.
Scottish champions Celtic are reportedly ready to offer full-back Calvin Miller a new deal before sending him out on loan.
Everton target Jack Wilshere has sparked a scramble for his signature after confirming he is leaving Arsenal this summer.
Tottenham's hopes of landing Wilfried Zaha have been hit by the news Crystal Palace have offered him a bumper new deal to stay.
Ryan Giggs says Gareth Bale would be the perfect fit for Manchester United but has doubts over whether he will leave Real Madrid.
Manchester City's attempts to sign Riyad Mahrez could be in doubt again as reports claim Leicester only want a straight cash deal.