“睡着的”的英语可以翻译为：sleeping ，asleep...

他们会在你睡着的时候悄悄接近你。They'll creep up on you while you're asleep.她睡着的时候嘴巴还在动。Her mouth was working in her sleep.她眼睑低垂好像快要睡着的样子.Her eyelids drooped as if she were on the verge of sleep....