Edge cooling experiments have been performed in Tore Supra by impurityinjection and oblique pellet injection. Non-local transport (NLT) featureshave been confirmed in both cases in the ohmic regime. The pellet injectionexperiments have shown the existence of a threshold on the plasma density⟨ne⟩ and current Ip for the observation of thiseffect: ⟨ne⟩/Ip1/2⩽1.0×1016 (m-3 A-1/2). A second threshold on the relative density variationcaused by the pellet injection has also been observed: Δ⟨ne⟩/⟨ne⟩⩽0.5. It has been observed that inthe L regime during lower hybrid current drive (LHCD) experiments these limitsare extended: [⟨ne⟩/Ip1/2]crit = 1.4×1016 (m-3 A-1/2) and [Δ⟨ne⟩/⟨ne⟩]crit⩾0.65. Observations ina LHCD scheme with fully non-inductive plasma current seem to indicate thatthe mechanism governing the NLT is unlikely to be linked to the plasma currentprofile effects including the spatial redistribution, the magnetic shear, andthe low-m MHD modes.