In 716, when his son, OWARI no Inagi, was given rice fields for Osumi's service, OWARI no Sukune Osumi was recorded as Jugoinojo (Junior Fifth Rank, Upper Grade), posthumously conferred.
霊亀2年（716年）に子の尾張稲置が大隅の功によって田を授かったとき、尾張宿禰大隅は贈従五位上と記される。