It is proposed to utilize steady-state current drive for tokamak reactor plasmas with fast-wave injection near the lower hybrid frequency. For a self-consistent calculation of wave damping and current drive, quasi-linear theory is used, assuming a one-dimensional model for the electron velocity distribution. For a simple, one-pass model to be correct, it is essential to include the effects of scattering by density fluctuations and the subsequent modification of the initial N|| spectrum by shear. The results for a TFCX-like plasma are encouraging. Possible wave absorption by fusion generated alpha particles turns out to be a rather small effect.