隨着正選中後衛文森特·孔帕尼從1月11到25日停賽4場，而另一主力科洛·图雷因為代表象牙海岸參加2012年非洲國家盃。萨维奇取代他成為正選球員，Although Savić showed brief flashes of form in this time, he showed many instances of nervousness resulting in frequent misplaced passes, clearances, and crucially conceded a penalty against Liverpool in a League Cup match, resulting in a Liverpool win. Via a poor first touch, he caused Jermain Defoe's goal in City's 3–2 win over Tottenham Hotspur. With Kompany's return to the starting team, Savić returned to the bench. He ended the season with 12 league appearances, enough for a medal, as Manchester City won the 2011–12 Premier League on the last day of the season.