Olearia covenyi is a shrub that typically grows to a height of up to, its stems densely covered with woolly, yellowish-brown hairs. The leaves arranged in opposite pairs, scattered, egg-shaped, long and wide with the edgesrolled down. The upper surface of the leaves is glabrous and the lower surface is covered with felt-like, yellowish-brown hairs. The heads or daisy-like "flowers" are arranged on the ends of branchlets and are in diameter on a peduncle up to long. Each head has two or three white ray floretssurrounding three or four yellow disc florets. Flowering occurs in November and December and the fruit is a glabrous achene, the pappus with 41–82 long bristles in two rows.