  We consider a spherically symmetric homogeneous perfect fluid undergoing a
gravitational collapse to singularity in the framework of higher-dimensional
Rastall gravity in the cases of vanishing and nonvanishing cosmological
constants. The possible final states of the collapse in any finite dimension
are black hole and naked singularity, hence violating the cosmic censorship
conjecture, but the naked singularity formation becomes less favored when the
dimension is increased, such that the conjecture is fully restored in the limit
of very high dimensions. We find that there are two physically distinct
solutions for the collapse evolution in the case of nonzero cosmological
constant: trigonometric and exponential solutions. The effective energy density
of the fluid is decreasing (increasing) in the former (latter) when the
magnitude of the cosmological constant is increased, which implies that the
former undergoes a slower collapse than the latter. Furthermore, we find that a
temporary trapped surface is possible to emerge in the case of trigonometric
solution in the naked singularity region only. Therefore, faraway observers
with observational time shorter than the collapse duration may conclude that a
black hole is formed, although the collapse will eventually lead to a naked
singularity formation.
