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New approach to construct the source of THz radiation is discussed. It is based on the formation of induced THz currents by two-color femtosecond optical pulse which are supposed to be injected and amplified in the extended nonequilibrium plasma channel by the mechanism proposed in [1]. The additional gain of the terahertz signal in plasma can ultimately lead to construction of more efficient terahertz sources. The optimal parameters of the pump two-color pulse are investigated and possible realizations of such an amplification scheme are discussed. [1] Bogatskaya A. V., Popov A. M. // JETP Letters. — 2013. — Vol. 97, no. 7. — P. 388–392