In 2003, Conrad was traded to the Wizards for a second-round draft pick, which the 'Quakes used to select Arturo Alvarez. Conrad's stock rose while with Kansas City; never a big scorer, he tallied four goals during his first season (he has ten in his MLS career). In 2004, he helped the Wizards to the US Open Cup and the MLS Cup Final as the leader of the league's stingiest defense and was named to the league's Best XI and was a finalist for MLS Defender of the Year Award. He won the award a year later.