I’m afraid that’s out of our control. Once the list of chats appears there’s nothing we can tweak unfortunately.
What I’m not sure we’re doing though is to avoid asking you again if you’ve already seen the popup in the, let’s say, last 12h. Let me find out and, if we’re not doing it, it could be a step in the right direction 
This would only work for urgent queries, of course, because you might have a non-urgent issue in the morning and a serious one in the evening.