Bullock has missed the last four games due to a hip problem, while Osborne has been absent for two matches with a hamstring strain.
Neither player will be ready for the Bantams' clash at Port Vale on Friday night, but their pending returns will come as a huge relief to manager Peter Taylor.
Bradford's promotion hopes this season have been scuppered by a series of injuries to key players, with Simon Ramsden, Michael Flynn, Tommy Doherty and Steve Williams all having been sidelined for long periods since August.
Source: PA
Source: PA