Eremophila demissa is a flowering plant in the figwort family, Scrophulariaceae and is endemic to a small area of central Western Australia.

Eremophila demissa is a low, compact, spreading shrub which grows to a height of less than 0.4 m (1 ft) with leaves and branches covered with fine hairs giving the surface a felty texture.

The flowers are borne singly, rarely in pairs, in leaf axils on a densely hairy, straight stalk 3–7 mm (0.1–0.3 in) long.

The type specimen was collected by Chinnock on Neds Peak Road, about 14 km (9 mi) from the Great Northern Highway.

[4][2][3] The specific epithet (demissa) is a Latin adjective meaning "drooping", "weak" or "feeble"[5] referring to the growth habit of this species.