Has he literally set it down? Does Claudius have a pad of Royal writs on his person at all times, ready to be proclaimed?
I picture it like one of those pink secretarial “While you were out. . .” pads and he checks off a little box that reads “to England” and another that reads “to prevent danger.”
Does he have a royal quill and parchment all rolled up in his robe just in case he needs to set something down? Or maybe he brought some work to do behind the arras while they listened and waited?
Maybe Claudius is always multi-tasking – doing the business while listening and so on.