For the Laurent series \(\sum^{+\infty}_{-\infty}a_ m(z-a)^ m\) of an analytic function f at the isolated essential singularity a it is shown that there exists a sequence \((c_ n)\) such that the \(c_ n\) are zeros of finite truncations \(\sum^{p}_{-k}a_ m(z-a)^ m\) of the Laurent series from f such that \(\lim_{n\to \infty}f(c_ n)=0\) provided that O is not a Picard exceptional value from f.