  We investigate the bulk orbital angular momentum (AM) in a two-dimensional
hole-doped topological superconductor (SC) which is composed of a hole-doped
semiconductor thin film, a magnetic insulator, and an $s$-wave SC and is
characterized by the Chern number $C = -3$. In the topological phase, $L_z/N$
is strongly reduced from the intrinsic value by the non-particle-hole-symmetric
edge states as in the corresponding chiral $f$-wave SCs when the spin-orbit
interactions (SOIs) are small, while this reduction of $L_z/N$ does not work
for the large SOIs. Here $L_z$ and $N$ are the bulk orbital AM and the total
number of particles at zero temperature, respectively. As a result, $L_z/N$ is
discontinuous or continuous at the topological phase transition depending on
the strengths of the SOIs. We also discuss the effects of the edge states by
calculating the radial distributions of the orbital AM.
