Alexander won his Olympic medal with his wife Anastasia Bryzgalova in the mixed doubles event.
However, 168 Russian athletes are allowed to compete in the Games under a neutral flag.
CAS said, "The athlete has accepted a provisional suspension beyond the period of the Games and reserved his rights to seek the elimination or reduction of any period of ineligibility based on 'no fault or negligence' following the conclusion of the Games."
With Krushelnitsky and Bryzgalova's third-place annulled, the bronze medal will be awarded to the Norway pair of Kristin Skaslien and Magnus Nedregotten, who had originally finished fourth.
According to the Guardian, Krushelnitsky's case will be now passed to the World Curling Federation to take further disciplinary action. (ANI)