This is an announcement for the paper 'A remark on the paper "A Unified Pietsch Domination Theorem"' by Daniel Pellegrino and Joedson Santos. Abstract: In this short communication we show that the Unified Pietsch Domination proved by Botelho et al in a recent paper remains true even if we remove two of its apparently crucial hypothesis. Archive classification: math.FA Remarks: 3 pages Submitted from: dmpellegrino@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1006.0753 or http://arXiv.org/abs/1006.0753