It is an erect, dense, bushy shrub with narrowly egg-shaped to elliptic leaves and small, loose clusters of green and pinkish-red flowers.

Its leaves are narrowly egg-shaped to narrowly lance-shaped with the narrower end towards the base or oblong to elliptic, 13–18 mm (0.51–0.71 in) long and 3–6 mm (0.12–0.24 in) wide, the upper surface with soft, shaggy hairs and the lower surface woolly-hairy.

Flowering mainly occurs from July to November and the fruit is an oval to oblong follicle 15–18 mm (0.59–0.71 in) long.

[2][3][4][5][6] Grevillea quadricauda was first formally described in 1994 by Peter Olde and Neil Marriott in the journal Telopea from specimens collected in 1992.

[2][6] It was one of eleven species selected for the Save a Species Walk campaign in April 2016; scientists walked 300 km to raise money for collection of seeds to be prepared and stored at the Australian Plant Bank at the Australian Botanic Garden Mount Annan.