Strachan was without Kris Boyd, Stephen McManus, Barry Robson, Kevin Thomson and Tarmo Kink due to international call-ups in midweek but saw his weakened side win 2-1 at Chesterfield.
Midfielder Rhys Williams will be missing for several months as he undergoes rehab for a serious pelvic problem while Willo Flood could miss most of the season.
Flood dislocated his knee in last Saturday's 3-1 defeat to Ipswich after colliding with team-mate Matthew Bates and is expected to be on the sidelines for six months.
Brad Jones continues to be linked with a move to Liverpool and Gary O'Neil is still out.
