Dexmedetomidine (trade names Precedex [US market], Dexdor [European market], Dexdomitor) is a sedative medication used by intensive care units and anesthesiologists.exmedetomidine is indicated for sedation of critically ill or injured patients in an intensive care unit setting. Its indication in the US was recently expanded to include nonintubated patient requiring sedation for surgery or procedures short-term.