  We calculate the bispectrum of the gravitational field fluctuations generated
during warm inflation, where dissipation of the vacuum potential during
inflation is the mechanism for structure formation. The bispectrum is non--zero
because of the self--interaction of the scalar field. We compare the
predictions with those of standard, or `supercooled', inflationary models, and
consider the detectability of these levels of non--Gaussianity in the
bispectrum of the cosmic microwave background. We find that the levels of
non--Gaussianity for warm and supercooled inflation are comparable, and
over--ridden by the contribution to the bispectrum due to other physical
effects. We also conclude that the resulting bispectrum values will be
undetectable in the cosmic microwave background for both the MAP and Planck
Surveyor satellites.
