Stones, 28, suffered a hamstring injury in the UEFA Nations League match against Germany and was substituted in the 37th minute.
In the medical tests carried out later, it was established that the central defender of the “City” main team will have to spend up to two weeks without football.
Stones has played in six Premier League games and one Champions League match this season.
On Sunday, Manchester City will host their fiercest rival United in the Premier League.
The matches of the English Premier League and the German Bundesliga will be available on the Viaplay platform this season.