I searched the web for clues and someone said, that he changed the polling rate down from 1000 Hz to 500 Hz in the mouse software. I don't have any mouse specific software installed, so I don't have the option to lower that rate. I then simply plugged in my old mouse and it seems, it's "slower" because it works just fine.
Not the best solution, but as long as I can play the game, I'm happy