[He does the same and grabs her hand before she can get up entirely. This isn't just weariness or a reaction to the knowledge that she's being spied on. Chekov knows about Korra's spat with Jinora and Tohru's disappearance; Jinora was upset about both and needed an outside party to listen to her. Bringing it up would be unfair to the young airbender, and he shouldn't pry, but...]

My father has told me that the worries we keep to ourselves never disappear. They're like injuries--they need to be tended to, or they get worse. [It's sound advice that Chekov often has difficulties listening to.] You don't need to tell them to me, but you shouldn't hold on to them.

[There. He didn't give anything away and it wasn't prying, really. Just advice.]