A DMV suspension is a separate matter from a court suspension for a DUI. The DMV can suspend your driver’s license following a DUI arrest. In addition, a court can order that your license be suspended following a conviction for DUI. The two types of suspensions involve separate proceedings from one another. A court suspension can only occur, though, if: you plead guilty to your DUI charge, or you are found guilty of the crime at your DUI trial.