Driving under the influence (DUI) of cocaine in Minnesota is a serious criminal offense. The penalties you may be facing if you're convicted on driving under the influence of cocaine will depend on your past DWI offenses, whether there are aggravating factors, and whether there were any injuries or fatalities caused. Several prior offenses and serious injuries or fatalities result in harsher penalties, such as hefty fines, license suspension or revocation, or jail time.