The dependence on rotation of the Eddington luminosity and the conditi
on of critical rotation for stars close to the Eddington limit are ree
xamined with respect to the ''Omega-limit'' introduced recently. The l
atter is an artifact due to disregarding gravity darkening. It is show
n that the standard condition for critical rotation is not affected by
the proximity to the Eddington limit, while rotation reduces the Eddi
ngton luminosity by at most approximate to 40 per cent in the critical
case. As a consequence, the stellar mass loss rate will not diverge a
t the ''Omega-limit'' but rather weakly depend on rotation.