  The Kugel--Khomskii model with entangled spin and orbital degrees of freedom
is a good testing ground for many important features in quantum information
processing, such as robust gaps in the entanglement spectra. Here, we
demonstrate that the entanglement can be also robust under effect of
temperature within a wide range of parameters. It is shown, in particular, that
the temperature dependence of entanglement often exhibits a nonmonotonic
behavior. Namely, there turn out to be ranges of the model parameters, where
entanglement is absent at zero temperature, but then, with an increase in
temperature, it appears, passes through a maximum, and again vanishes.
