Zero-point energy corrections to the nucleon mass due to quantum fluct
uations around the classical soliton are evaluated. In 3 + 1 dimension
s the ultraviolet divergencies require a further subtraction term, in
addition to the two subtractions known from 1 + 1 dimensional models.
The mass corrections arising from the continuous spectrum are approxim
ated by classical phase-space integrals. They amount to about 20% of t
he zero mode contributions. Altogether (for f(pi) = 93 MeV and Skyrme
parameter e approximately 3.5) the quantum fluctuations compensate the
large values of the soliton mass and allow for a nucleon mass around
900 MeV.