We provide a counterexample to the performance guarantee obtained in the paper "Il'ev, V., Linker, N., 2006. Performance guarantees of a greedy algorithm for minimizing a supermodular set function on comatroid", which was published in Volume 171 of the European Journal of Operational Research. We point out where this error originates from in the proof of the main theorem. (C) 2020 The Author(s). Published by Elsevier B.V.