The skipper has been left behind by Pep Guardiola for the midweek Champions League opener against Dutch side Feyenoord to work on his recovery from the calf strain suffered on recent international duty.
Kompany failed to convince the club’s medics he was fit to play a part in last weekend’s 5-0 demolition of Liverpool although the Belgian has continued to train in the last couple of days.
The 31-year-old was able to complete an hour on Tuesday and the Citizens are hopeful he will make further progress during the next 48 hours.
Kompany has been plagued by calf issues in the last 18 months but this latest injury is considered minor and his sidelining is more of a precautionary measure, to avoid him risking another lengthy spell out of the first-team mix.
Brazil right-back Danilo has also proved to Guardiola that he is a capable deputy at the heart of his rearguard following his impressive showing against Jurgen Klopp’s side.
Sheffield United could have leading scorer Leon Clarke back for their home game against Nottingham Forest.
St Johnstone midfielder Murray Davidson is determined to use their derby exploits as a springboard to rid them of inconsistency.
Lincoln will once again be without skipper Luke Waterfall for Saturday's League Two derby clash with Grimsby.
Leeds boss Paul Heckingbottom is expected to choose from an unchanged squad for the home game against Sheffield Wednesday.
Derek Fazackerley will take the Oxford helm on the 56th day of his caretaker stint in Saturday's match against Peterborough.