[The fact that she likely won't see him because she isn't going to be able to escape isn't lost on her. She knows that the odds are stacked against all of them here, and thinking that she might actually die here is enough to make her even more still and solemn. Her head hangs, so that she can attempt to hide the fact that tears are slowly starting to fall.]

When I find a way out -

[She has to pause in speaking to stop her voice from shaking.]

I'll tell him.

[The fact that she does rely so strongly on someone who Leia finds questionable isn't lost on her, and since they haven't been interrupted yet she decides to go ahead and blurt out what's on her mind.]

Mind if I ask what your connection to him is, though? You seemed like you hated him before, and now you actually want to see him.