Sleep thought" is the sort of thing you get typically before you fall asleep and it's like "did I take the garbage out, ??

半睡半醒的想法是指那些,你睡着前所想到的东西,例如“我倒垃圾了吗？

耶鲁公开课 - 心理学导论课程节选

so I actually was like almost falling asleep in the second half, so you know.

我后半程几乎都快睡着了。

来伦敦旅游的 - SpeakingMax英语口语达人

But I think he actually fell asleep during the performance.

我想演出的时候他其实睡着了。

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I'm afraid that you are sleeping, continue working hard.

我担心你睡着了，要继续努力学习哦！

I'm afraid of 课堂 - SpeakingMax英语口语达人