It is planned to use lower hybrid current drive (LHCD) in the Tokamak de Varennes to support continuous operation for the entire duration (30 s) of the toroidal field. In the nominal Ohmic equilibrium, lower hybrid slow wave accessibility is poor (n1 access ≃ 3), which severely limits the number of resonant electrons and LHCD efficiency. Careful modelling is therefore needed to estimate the minimum RF power requirements and the recharge possibilities while maintaining a constant total plasma current. The Bonoli-Englade code has been modified with respect to evolution of narrow Brambilla spectra, RF current diffusion and proportional-integral-derivative feedback control of the plasma current. It appears that 200 kA of current could be maintained in a steady state with about 1 MW of LH power at 3.7 GHz and with n0 = 4 × 1019 m−3. With the same power, in an alternating Ohmic/RF scenario, the Ohmic transformer could be recharged to 2 V·s in about four seconds at a slightly reduced density.