These are both incredibly acceptable alternatives. He will simply bask in Kai's presence in lieu of any actual sunshine. Wonderful.

That hand resting on him feels so nice and warm, he really doesn't want him to leave at all. That'd be a little ridiculous, though, he's sure Kai has other things to be doing. But, if he's sure he'll end up feeling just as bad sooner or later... What's he going to do, tell him to go back to work? Hm.

"If I fall asleep, you don't have to stick around."

Does that sound like a good compromise? It isn't like he's going to be any good for company if he's dozed off.