A connector for fluidly connecting the sealed interior of an artificial limb socket with a pressure source when the connector is mounted to the socket at a hole and an artificial limb including same. The connector includes a flexible elongated tubular section having a lumen, a flange coupled to one end of the elongated tubular section, the flange having a seal surface for sealingly abutting one of the socket wall surfaces around the hole, and a tubular portion adjacent to the flange and extending the lumen from the seal surface of the flange. Tubular portion has at least one section oversized relative to hole which provides a reasonable air-tight seal between the at least one section and an inner surface of the hole or the other of said socket wall surfaces around the hole and distant from the flange, when the tubular portion is received within the hole.