He was a member of the Supponid family and was related to Louis's empress, Engelberga, and also to Suppo, count of Parma, Asti, and Turin, his cousin. After Louis's death, he supported Charles the Bald for the Italian throne and was with him in Italy in February 876. Nonetheless, he was deposed and Lambert I reinstated in that year.
Suppo's wife was a sister of Eberhard of Friuli but he had no known descendants.