gluTessVertex & Co.

I’m finding some problems using the tesselator object in OGL.
I’m not sure, but, is it possible to tesselate only planar polys or not ?

I need to draw something like a paper with a bend in the middle, but when I pass the non bended paper coord the object is shown, when I pass the bended paper coords nothing appears…

What I need to know is if the GLUtesselator allows tesseling non planar objects.