  In this paper, we investigate the motion of a classical spinning test
particle orbiting around a static spherically symmetric black hole in a novel
four-dimensional Einstein-Gauss-Bonnet gravity [D. Glavan and C. Lin, Phys.
Rev. Lett. 124, 081301 (2020)]. We find that the effective potential of a
spinning test particle in the background of the black hole has two minima when
the Gauss-Bonnet coupling parameter $\alpha$ is nearly in a special range
$-6.1<\alpha/M^2<-2$ ($M$ is the mass of the black hole), which means such
particle can be in two separate orbits with the same spin angular momentum and
orbital angular momentum. We also investigate the innermost stable circular
orbits of the spinning test particle and find that the effect of the particle
spin on the the innermost stable circular is similar to the case of the
four-dimensional black hole in general relativity.
