Left-back Hills suffered a hamstring injury during Tuesday night's 2-0 defeat by Bury, a result which cost boss Gary Smith his job 24 hours later.
Striker Haber missed that game and remains on international duty with Canada.
Skipper Mark Roberts will take temporary charge of Boro as he did for three matches prior to Smith's appointment in January 2012.
Winger Filipe Morais remains sidelined with an ankle problem and defender Jon Ashton is a long-term casualty with an Achilles injury.
Miguel Comminges is likely to start in Hills' absence while Darius Charles could also earn a recall in the back four.