The augmented Zagreb index (\(AZI\)) has attracted more and more attentions in the past years. Some significant mathematical properties of \(AZI\) were obtained. In particular, Lin et al. [MATCH Commun. Math. Comput. Chem. 83 (2020) 167] recently claimed a complete solution to the problem of characterizing n-vertex tree(s) with maximal \(AZI\). In this note we correct some errors in the paper.