Drogba swore directly into a camera and suggested to referee Tom Henning Obrebo that the game had been fixed.
The Sunday People says UEFA are set to ban the Ivorian for six-months.
UEFA official Rob Faulkner said: “The aggression shown against Tom Henning Ovrebo was completely unacceptable.”
Michael Ballack and Jose Bosingwa are also facing disciplinary action following their actions on the night.