He's half asleep and a bit boozed.

他半醒半睡，还有点微醉。

《柯林斯英汉双解大词典》

Presently, while half asleep and half awake, he murmured, "Sir William!"

过了一会儿，他半睡半醒地低声说：“威廉爵士！”

youdao

No man can reveal to you aught but that which already lies half asleep in the dawning of our knowledge.

没有人能够向你昭示什么，除了在我们知识的拂晓里半睡半醒的冥思。

youdao

Now,half-awake,half asleep, he found himself at the door of his house.

VOA: special.2011.05.28

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

Ms. SIMON: We were absolutely motionless and practically half asleep.

NPR: Carly Simon's 'Never Been Gone'

She was still half asleep.

NPR: Excerpt: 'Trauma'

It's more like "half-asleep" texting, as doctors describe it as a state of rest where a person isn't fully awake.

CNN: STORY HIGHLIGHTS