The charged-particle induced reactions on lithium have been studied by several works. In particular, several direct measurements of the ^7^Li(p,{alpha})^4^He reaction have been performed to extrapolate its low-energy astrophysical S(E)-factor and evaluate the electron screening potential, Ue. In view of recent direct measurements, we discuss our estimate of the bare-nucleus S(E)-factor and an evaluation of the corresponding reaction rate. Moreover, we present the extracted electron screening potential.