Even if half asleep, he indeed noticed the new weight on his shoulders, and at that would lift his head again and look at it, at him.
…He was tempted to refuse it, insist he didn’t need it and whatnot. But for now he could barely find the energy to, so instead would just kinda of- snuggle into it..?
He simply waved a hand, pulling his handbook out from his pocket. Seeing he accepted it, he chuckled and started scribbling into his book.