We report on a mechanism which may lead to a spin-up of the surface of
a rotating single star leaving the Hayashi line, which is much strong
er than the spin-up expected from the mere contraction of the star. By
analyzing rigidly rotating, convective stellar envelopes, we qualitat
ively work out the mechanism through which these envelopes may be spun
up or down by mass loss through their lower or upper boundary, respec
tively. We find that the first case describes the situation in retreat
ing convective envelopes, which tend to retain most of the angular mom
entum while becoming less massive, thereby increasing the specific ang
ular momentum in the convection zone and thus in the layers close to t
he stellar surface. We explore the spin-up mechanism quantitatively in
a stellar evolution calculation of a rotating 12 M. star, which is fo
und to be spun up to critical rotation after leaving the red supergian
t branch. We discuss implications of this spin-up for the circumstella
r matter around several types of stars, i.e., post-AGE stars, B[e] sta
rs, pre-main sequence stars, and, in particular, the progenitor of Sup
ernova 1987A.