In this paper, we investigate an extended version of the elephant random walk model. Unlike the traditional approach where step sizes remain constant, our model introduces a novel feature: step sizes are generated as a sequence of positive independent and identically distributed random variables, and the step of the walker at time $n+1$ depends only on the steps of the walker between times $1,...,m_n$, where $(m_n{)}_{n⩾1}$ is a sequence of positive integers growing to infinity as $n$ goes to infinity. Our main results deal with the validity of the central limit theorem for this new variation of the standard ERW model introduced by Schütz and Trimper in $2004$.