Is there any legal basis for saying "In the name of Allah, there is no god but He" when changing clothes to conceal one's nakedness from jinn?

It is legislated to say "Bismillah (In the name of Allah)" when undressing, in order to protect the one who says it from the gaze of the jinn. The addition of "alladhee la ilaha illa Hu (He besides Whom there is no god)" has been mentioned in some narrations, but these are weak, though there is no harm in mentioning it.