A connector for an implantable electrical medical device includes a connector lumen defined in an elongated connector housing and adapted for receiving a portion of a lead. Connector-contact assemblies are disposed in the connector lumen. Each of the connector-contact assemblies includes a contact housing. Multiple connector contacts are arranged along perimeters of inner surfaces of the contact housings such that the connector contacts are not in electrical contact with one another. Each of the connector contacts includes a biasing structure that physically contacts terminals disposed along the lead when the lead is received by the connector lumen. For each connector contact of a particular connector-contact assembly, the biasing structure extends around no more than 70% of the perimeter of the inner surface of the contact housing and is circumferentially-offset from the biasing structures of the remaining connector contacts of the connector-contact assembly.