Kompany had made his comeback as a substitute against the Black Cats after six weeks out with another calf injury
Manager Manuel Pellegrini revealed that the Belgian centre-back faces another lengthy spell on the sidelines after limping off during the 4-1 Boxing Day win against Sunderland.
Kompany had made his comeback as a substitute against the Black Cats after six weeks out with another calf injury and he watched the draw with the Foxes from the stands at the King Power Stadium.
Vincent has an injury, a second degree of his calf, Pellegrini said.
Its not the same injury, the same calf but in a different part. I am not a doctor but normally a muscle injury of less than three or four weeks is very difficult, especially in the calf.
We hope that he can recover as soon as he can but its very important until we solve this to defend the way we did in this game.
Pellegrinis side moved to within three points of leaders Arsenal with a point at Leicester while the home side went level on points with the Gunners at the seasons halfway point.
But Manchester City are now without a win in six away games in the Premier League - a record that has prevented them building fully on their flying start to the season.