The hot electron plasmas (Te>2Ti) in Tore Supra (Equipe Tore Supra (presented by R. Aymar) in Plasma Physics and Controlled Nuclear Fusion Research [Proc. 12th Int. Conf., Nice, 1988 (IAEA, Vienna, 1989), Vol. 1, p. 9]) driven by fast wave electron heating (FWEH) are analyzed for thermal transport. Both neoclassical and anomalous transport processes are taken into account. The dominant power flow is through the electron channel of anomalous thermal diffusivity. The electron and ion temperature gradient driven instabilities are analyzed for a well documented discharge and shown to explain the diffusivities inferred from the steady state power balance analysis. The discharges are maintained in a quasi-steady state for periods up to 100 global energy replacement times. A large Tore Supra database is tested against two models for the turbulent electron thermal conductivity. Good correlation is obtained with an updated version of the collisionless skin depth formula. The electrostatic turbulence-based formula for electron temperature gradient (ETG) mode performs poorly in the core but well in the outer plasma. The electromagnetic turbulence theory based formula for ETG mode is benchmarked with the empirical Taroni–Bohm formula derived from Joint European Torus (JET) data.