This paper provides a novel method of constructing an internal model for a class of LTV plants driven by known LTI exosystems. It is shown how the realization of a time-varying internal model can be constructed by means of a novel feedback mechanism. The design of the internal model consists of two ingredients: 1) a time-varying system immersion of the exosystem; 2) automatic generation of the desired control input, based on the complete knowledge of the plant model. The important features of the proposed method lie in that the solution does not involve solving Sylvester differential equations, moreover the immersion is guaranteed to hold for the class of plant models under consideration. These features significantly broaden the range of applications of the proposed method and simplify the control implementation process.