Zieria covenyi is an erect shrub which usually grows to a height of and only reproduces from root suckers. It has star-shaped hairs on its branches and leaves, at least when they are young. The leaves are arranged in opposite pairs and are composed of three leaflets with the central one heart-shaped with the narrower end towards the base, long and wide and with a
petiole long. The leaflets are dark green with small oil glands on the upper surface and grey-green with soft hairs on the lower surface. White to pale pink flowers, in diameter are arranged in clusters of between 3 and 21 in leaf
axils. The clusters are about the same length as the leaves. The
sepals are triangular, about long and covered with soft hairs. The four
petals are about long, overlap each other and have a layer of hairs on the outside and there are four stamens. Flowering occurs from October to December and although insects have been observed visiting the flowers they have not carried
fertile pollen from this species and fruit has not been recorded. ==Taxonomy and naming==