I'm a lucid dreamer for a while but I never had such an experience myself. When I get ill I loose my ability to control dreams. and it is quite frustrating because you wake up and you remember all those messy dreams about nothing.

If you are already a lucid dreamer, I think that this kind of thing could happen to you. All my lucid dreams are more like nightmare or chaos (random hallucinations) when I'm ill.
But I wouldn't say that being sick induces lucid dreaming.