He takes a few seconds to make sure Shinjirou is alright (or as alright as he can be, considering the circumstances), before he leaves with the cup. When he returns, it's with the promised pills and some warm water. Well, "pills"; they're actually placebo pills, they don't do anything. Shinjirou should be tired enough to fall asleep on his own.

"Here." There's nothing out of the ordinary in the way Jade proffers the items. As far as he's concerned, he's doing Shinjirou some good, and even if his ploy doesn't work, there won't be any harm done.