Swainsona burkei is a prostrate or
perennial subshrub that typically grows to a height of with many slender stems arising from its base. Its leaves are imparipinnate, long with
stipules long at the base. There are 5 to 11 oblong to narrowly leaflets with the narrower end towards the base, mostly and wide. The flowers are arranged in racemes long of 5 to 10, each flower on a
pedicel wide. The
sepals are joined at the base, forming a tube about long, the sepal lobes often three or more longer than the sepal tube. The petals are purple, occasionally pink or white, the
standard petal long, the
wings long, and the
keel long. The fruit is a more or less oblong
pod long and wide with the remains of the
style long. ==Taxonomy and naming==