Wulfwig appears in a charter of 1045 as royal chancellor, but its reliability of doubtful.
His predecessor was living and had been irregularly deprived, and Freeman suggests that the record of this fact in the chronicle may indicate some feeling against Wulfwig's appointment, but there seems to have been no opposition.
Wulfwig apparently shared the scruple about the canonical position of Archbishop Stigand, for he went abroad to be consecrated.
His appointment is thought to mark a momentary decline in Norman influence, and he was the last of the old line of Dorchester bishops, for his death occurred when the English ecclesiastical preferments were passing into Norman hands.
His will is extant and is witnessed by a large number of persons, beginning with the king.