We　investigate　the　dynamic　watermarking　scheme　for　quantum　images　using　quantum　wavelet　transform　(QWT)　proposed　by　Song　et　al.　(Quantum　Inf　Process　12(12):3689-3706,　2013).　It　is　aimed　to　embed　the　watermark　image　into　the　wavelet　coefficients　of　the　quantum　carrier　image.　However,　in　our　opinion,　the　key　procedures　of　the　protocol　are　wrong.　At　last,　a　possible　improvement　strategy　is　presented.