Many orders of magnitude increase in accelerating gradients were achieved in plasma with laser or charge particle beams, when compared with traditional RF accelerators. The energy depletion of the driving beam ultimately limits energy gain in the single acceleration stage. It was suggested that acceleration to teravolt scale energies is feasible in the single acceleration stage with a proton beam that is similar to one used at the Large Hadron Collider. Existing proton accelerators are unsuitable for driving a linear collider beam due to their average beam power that entails very low luminosity. Here, we discuss the high average power requirement and possible design solutions to overcome these limitations.