In tokamaks heated with ICRF power, the time evolution of the resonant minority ion population can have a profound influence on the power deposition in the plasma, particularly in the limit when the fast-ion slowing-down time is comparable with or longer than the period of other time-dependent phenomena in the discharge, such as sawtooth oscillations, which can alter the distribution of the fast ions. In order to properly include this effect in transport simulations of ICRF-heated tokamak discharges, a time-dependent predictive transport and heating code has been developed by integrating the WHIST 2D MHD equilibrium/1D flux-surface-averaged transport code with the RAZE hybrid ray-tracing/Fokker-Planck ICRF heating code.